List of largest known primes and probable primes

The table below lists the largest currently known prime numbers and probable primes (PRPs) as tracked by the PrimePages and by Henri & Renaud Lifchitz's PRP Records. Numbers with more than 2,000,000 digits are shown.

Largest known primes

These numbers have been proved prime by computer with a primality test for their form, for example the Lucas–Lehmer primality test for Mersenne numbers. “!” is the factorial, “#” is the primorial, and $\Phi _{3}(x)$ is the third cyclotomic polynomial, defined as $x^{2}+x+1$ .

Rank^[1]^[2]	Number	Discovery date	Decimal digits
1	2^136279841 − 1 ^[3]	12 October 2024	41,024,320
2	2^82589933 − 1 ^[4]	7 December 2018	24,862,048
3	2^77232917 − 1 ^[5]	26 December 2017	23,249,425
4	2^74207281 − 1 ^[6]	7 January 2016	22,338,618
5	2^57885161 − 1 ^[7]	25 January 2013	17,425,170
6	2524190^2097152 + 1 ^[8]	12 October 2025	13,426,224
7	2^43112609 − 1 ^[9]	23 August 2008	12,978,189
8	2^42643801 − 1 ^[10]	4 June 2009	12,837,064
9	$\Phi _{3}(-516693^{1048576})$ ^[11]	2 October 2023	11,981,518
10	$\Phi _{3}(-465859^{1048576})$ ^[12]	31 May 2023	11,887,192
11	2^37156667 − 1 ^[9]	6 September 2008	11,185,272
12	2^32582657 − 1 ^[13]	4 September 2006	9,808,358
13	10223×2^31172165 + 1 ^[14]	31 October 2016	9,383,761
14	2^30402457 − 1 ^[15]	15 December 2005	9,152,052
15	4×5^11786358 + 1	1 October 2024	8,238,312
16	2^25964951 − 1 ^[16]	18 February 2005	7,816,230
17	4052186×69^4052186 + 1 ^[17]	16 April 2025	7,451,366
18	69×2^24612729 − 1	13 August 2024	7,409,172
19	2^24036583 − 1 ^[18]	15 May 2004	7,235,733
20	7172162^1048576 + 1 ^[19]	12 August 2026	7,188,671
21	5336284^1048576 + 1 ^[20]	31 October 2025	7,054,022
22	107347×2^23427517 − 1	4 August 2024	7,052,391
23	3×2^23157875 − 1 ^[21]	25 June 2025	6,971,216
24	3843236^1048576 + 1 ^[22]	17 December 2024	6,904,556
25	3×2^22103376 − 1 ^[23]	30 September 2024	6,653,780
26	1963736^1048576 + 1 ^[24]	24 September 2022	6,598,776
27	1951734^1048576 + 1 ^[25]	9 August 2022	6,595,985
28	202705×2^21320516 + 1 ^[26]	25 November 2021	6,418,121
29	2^20996011 − 1 ^[27]	17 November 2003	6,320,430
30	1059094^1048576 + 1 ^[28]	31 October 2018	6,317,602
31	3×2^20928756 − 1 ^[29]	5 July 2023	6,300,184
32	919444^1048576 + 1 ^[30]	29 August 2017	6,253,210
33	81×2^20498148 + 1	13 June 2023	6,170,560
34	7×2^20267500 + 1	21 July 2022	6,101,127
35	4×5^8431178 + 1	2 January 2024	5,893,142
36	168451×2^19375200 + 1 ^[31]	17 September 2017	5,832,522
37	69×2^19374980 − 1	3 July 2022	5,832,452
38	3×2^18924888 − 1 ^[32]	24 March 2022	5,696,990
39	69×2^18831865 − 1	16 December 2021	5,668,959
40	2×3^11879700 + 1	22 June 2024	5,668,058
41	97139×2^18397548 − 1	23 April 2023	5,538,219
42	7×2^18233956 + 1	1 October 2020	5,488,969
43	3×2^18196595 − 1 ^[33]	8 January 2022	5,477,722
44	4×3^11279466 + 1	10 September 2024	5,381,674
45	3×2^17748034 − 1 ^[34]	6 September 2021	5,342,692
46	$\Phi _{3}(-123447^{524288})$	23 February 2017	5,338,805
47	31×2^17681433 − 1	14 May 2026	5,322,644
48	15×2^17609618 + 1	12 May 2026	5,301,025
49	3622×5^7558139 − 1	18 February 2022	5,282,917
50	127174×5^7556055 − 1	15 October 2026	5,281,461
51	7×6^6772401 + 1	9 September 2019	5,269,954
52	2×3^10852677 + 1	8 January 2023	5,178,044
53	8508301×2^17016603 − 1 ^[35]	21 March 2018	5,122,515
54	8×10^5112848 − 1	30 January 2024	5,112,848
55	13×2^16828072 + 1	11 October 2023	5,065,756
56	3×2^16819291 − 1 ^[36]	20 January 2021	5,063,112
57	5287180×3^10574360 − 1	3 November 2024	5,045,259
58	3×2^16408818 + 1 ^[37]	25 October 2020	4,939,547
59	2329989×2^16309923 − 1	13 February 2024	4,909,783
60	69×2^15866556 + 1	20 August 2021	4,776,312
61	2036×3^10009192 + 1	15 February 2024	4,775,602
62	2525332×73^2525332 + 1 ^[38]	28 August 2021	4,705,888
63	1419499×2^15614489 + 1	9 February 2024	4,700,436
64	11×2^15502315 + 1	8 January 2023	4,666,663
65	(10^2332974 + 1)² − 2	20 February 2024	4,665,949
66	37×2^15474010 + 1	8 November 2022	4,658,143
67	93839×2^15337656 − 1	28 November 2022	4,617,100
68	2^15317227+2^7658614 + 1	31 July 2020	4,610,945
69	13×2^15294536 + 1	30 September 2023	4,604,116
70	6×5^6546983 + 1	13 June 2020	4,576,146
71	4788920×3^9577840 − 1	14 February 2024	4,569,798
72	31×2^15145093 − 1	9 February 2025	4,559,129
73	69×2^14977631 − 1	3 December 2021	4,508,719
74	192971×2^14773498 − 1	7 March 2021	4,447,272
75	4×3^9214845 + 1	10 September 2024	4,396,600
76	9145334×3^9145334 + 1	25 December 2023	4,363,441
77	4×5^6181673 − 1	15 July 2022	4,320,805
78	396101×2^14259638 − 1	3 February 2024	4,292,585
79	6962×31^2863120 − 1	29 February 2020	4,269,952
80	37×2^14166940 + 1	24 June 2022	4,264,676
81	99739×2^14019102 + 1 ^[39]	24 December 2019	4,220,176
82	69×2^13832885 − 1	17 January 2022	4,164,116
83	9562633# + 1	25 June 2025	4,151,498
84	404849×2^13764867 + 1	10 March 2021	4,143,644
85	25×2^13719266 + 1	20 September 2022	4,129,912
86	81×2^13708272 + 1	11 October 2022	4,126,603
87	2740879×2^13704395 − 1	26 October 2019	4,125,441
88	479216×3^8625889 − 1	16 November 2019	4,115,601
89	13×2^13584543 − 1	30 May 2025	4,089,357
90	31×2^13514933 − 1	9 February 2025	4,068,402
91	$\Phi _{3}(-143332^{393216})$	30 January 2017	4,055,114
92	81×2^13470584 + 1	9 October 2022	4,055,052
93	2^13466917 − 1 ^[40]	14 November 2001	4,053,946
94	5778486×5^5778486 + 1	15 August 2024	4,038,996
95	9×2^13334487 + 1	31 March 2020	4,014,082
96	6×10^4000494 − 1	27 July 2026	4,000,495
97	206039×2^13104952 − 1	26 April 2021	3,944,989
98	2805222×5^5610444 + 1 ^[41]	2 September 2019	3,921,539
99	5128×22^2919993 + 1	5 December 2024	3,919,869
100	19249×2^13018586 + 1 ^[42]	26 March 2007	3,918,990
101	29002212⁵²⁴²⁸⁸ + 1 ^[43]	11 October 2026	3,912,464
102	27985952⁵²⁴²⁸⁸ + 1 ^[44]	4 October 2026	3,904,342
103	27171622⁵²⁴²⁸⁸ + 1	15 October 2026	3,897,618
104	26693202⁵²⁴²⁸⁸ + 1	6 October 2026	3,893,573
105	26689978⁵²⁴²⁸⁸ + 1	8 October 2026	3,893,546
106	2293×2^12918431 − 1	13 February 2021	3,888,839
107	25457072⁵²⁴²⁸⁸ + 1 ^[45]	29 July 2026	3,882,509
108	23865586⁵²⁴²⁸⁸ + 1 ^[46]	27 April 2026	3,868,078
109	23680116⁵²⁴²⁸⁸ + 1 ^[47]	17 April 2026	3,866,301
110	22970694⁵²⁴²⁸⁸ + 1 ^[48]	19 March 2026	3,859,376
111	81×2^12804541 + 1	19 September 2022	3,854,553
112	22444816⁵²⁴²⁸⁸ + 1 ^[49]	3 March 2026	3,854,102
113	22306708⁵²⁴²⁸⁸ + 1 ^[50]	28 February 2026	3,852,697
114	21826264⁵²⁴²⁸⁸ + 1 ^[51]	25 February 2026	3,847,739
115	67612×5^5501582 + 1 ^[52]	8 April 2025	3,845,446
116	20221496⁵²⁴²⁸⁸ + 1	22 January 2026	3,830,351
117	19981416⁵²⁴²⁸⁸ + 1 ^[53]	5 February 2026	3,827,631
118	19409636⁵²⁴²⁸⁸ + 1 ^[54]	14 January 2026	3,821,021
119	18703062⁵²⁴²⁸⁸ + 1 ^[55]	9 December 2025	3,812,577
120	18529322⁵²⁴²⁸⁸ + 1 ^[56]	30 November 2025	3,810,452
121	18099898⁵²⁴²⁸⁸ + 1	1 September 2025	3,805,113
122	17997078⁵²⁴²⁸⁸ + 1 ^[57]	20 November 2025	3,803,816
123	17544674⁵²⁴²⁸⁸ + 1 ^[58]	25 October 2025	3,798,019
124	17502532⁵²⁴²⁸⁸ + 1 ^[59]	23 October 2025	3,797,471
125	17445908⁵²⁴²⁸⁸ + 1 ^[60]	19 October 2025	3,796,734
126	17177670⁵²⁴²⁸⁸ + 1 ^[61]	5 October 2025	3,793,205
127	16211276⁵²⁴²⁸⁸ + 1 ^[62]	9 August 2025	3,780,021
128	15958750⁵²⁴²⁸⁸ + 1 ^[63]	15 July 2025	3,776,446
129	15852200⁵²⁴²⁸⁸ + 1 ^[64]	8 July 2025	3,774,921
130	751882!/751879# + 1	7 December 2025	3,765,621
131	4×5^5380542 + 1	22 February 2023	3,760,839
132	13520762⁵²⁴²⁸⁸ + 1 ^[65]	25 February 2025	3,738,699
133	13427472⁵²⁴²⁸⁸ + 1 ^[66]	3 March 2025	3,737,122
134	9×2^12406887 + 1	29 March 2020	3,734,847
135	12900356⁵²⁴²⁸⁸ + 1 ^[67]	22 January 2025	3,728,004
136	12693488⁵²⁴²⁸⁸ + 1 ^[68]	6 January 2025	3,724,323
137	11937916⁵²⁴²⁸⁸ + 1 ^[69]	5 October 2024	3,710,349
138	7×2^12286041 − 1	10 June 2023	3,698,468
139	10913140⁵²⁴²⁸⁸ + 1 ^[70]	19 June 2024	3,689,913
140	69×2^12231580 − 1	27 July 2021	3,682,075
141	27×2^12184319 + 1	6 February 2021	3,667,847
142	9332124⁵²⁴²⁸⁸ + 1 ^[71]	22 June 2024	3,654,278
143	8630170⁵²⁴²⁸⁸ + 1 ^[72]	13 April 2024	3,636,472
144	863282×5^5179692 − 1	17 October 2024	3,620,456
145	670490×12^3352450 − 1	17 October 2024	3,617,907
146	4×3^7578378 + 1	9 September 2024	3,615,806
147	11×2^11993994 − 1	15 August 2024	3,610,554
148	3761×2^11978874 − 1	6 July 2022	3,606,004
149	95×2^11954552 − 1	28 May 2024	3,598,681
150	259072×5^5136295 − 1	28 October 2024	3,590,122
151	3×2^11895718 − 1 ^[73]	23 June 2015	3,580,969
152	37×2^11855148 + 1	30 May 2022	3,568,757
153	6339004⁵²⁴²⁸⁸ + 1 ^[74]	8 June 2023	3,566,218
154	763795×6^4582771 + 1	11 December 2023	3,566,095
155	5897794⁵²⁴²⁸⁸ + 1 ^[42]	18 December 2022	3,549,792
156	29×2^11749456 − 1 ^[42]	16 May 2026	3,536,941
157	3×2^11731850 − 1 ^[75]	13 March 2015	3,531,640
158	69×2^11718455 − 1 ^[42]	4 December 2020	3,527,609
159	21×2^11715899 − 1	4 February 2026	3,526,839
160	8629×2^11708579 − 1	19 September 2024	3,524,638
161	41×2^11676439 + 1 ^[42]	20 June 2022	3,514,960
162	4896418⁵²⁴²⁸⁸ + 1 ^[76]	15 May 2022	3,507,424
163	81×2^11616017 + 1 ^[42]	30 August 2022	3,496,772
164	69×2^11604348 − 1 ^[42]	4 December 2020	3,493,259
165	4450871×6^4450871 + 1 ^[42]	17 September 2023	3,463,458
166	9×2^11500843 + 1 ^[42]	13 March 2020	3,462,100
167	3×2^11484018 − 1 ^[77]	22 November 2014	3,457,035
168	193997×2^11452891 + 1 ^[78]	3 April 2018	3,447,670
169	29914×5^4930904 + 1	27 September 2024	3,446,559
170	3638450⁵²⁴²⁸⁸ + 1 ^[79]	29 May 2020	3,439,810
171	9221×2^11392194 − 1 ^[80]	7 February 2021	3,429,397
172	9×2^11366286 + 1	26 March 2020	3,421,594
173	$\Phi _{3}(-3328218^{262144})$	29 December 2025	3,419,518
174	5×2^11355764 − 1	2 October 2021	3,418,427
175	732050×6^4392301 + 1	9 September 2023	3,417,881
176	$\Phi _{3}(-3268739^{262144})$	10 November 2025	3,415,412
177	3214654⁵²⁴²⁸⁸ + 1 ^[81]	24 December 2019	3,411,613
178	632760! − 1	20 October 2024	3,395,992
179	146561×2^11280802 − 1 ^[82]	16 November 2020	3,395,865
180	51208×5^4857576 + 1	6 June 2024	3,395,305
181	2985036⁵²⁴²⁸⁸ + 1 ^[83]	18 September 2019	3,394,739
182	4591×2^11270837 − 1	2 January 2025	3,392,864
183	6929×2^11255424 − 1	7 July 2022	3,388,225
184	2877652⁵²⁴²⁸⁸ + 1 ^[84]	29 June 2019	3,386,397
185	2788032⁵²⁴²⁸⁸ + 1 ^[85]	17 April 2019	3,379,193
186	2733014⁵²⁴²⁸⁸ + 1 ^[86]	18 March 2019	3,374,655
187	$\Phi _{3}(-2637072^{262144})$	4 December 2025	3,366,518
188	9×2^11158963 + 1	13 March 2020	3,359,184
189	9271×2^11134335 − 1	17 January 2021	3,351,773
190	136804×5^4777253 − 1	1 March 2024	3,339,162
191	2312092⁵²⁴²⁸⁸ + 1 ^[87]	4 August 2018	3,336,572
192	987324×48^1974648 − 1	12 October 2024	3,319,866
193	2061748⁵²⁴²⁸⁸ + 1 ^[88]	20 March 2018	3,310,478
194	1880370⁵²⁴²⁸⁸ + 1 ^[89]	15 January 2018	3,289,511
195	27×2^10902757 − 1	7 March 2022	3,282,059
196	3×2^10829346 + 1 ^[90]	14 January 2014	3,259,959
197	11×2^10803449 + 1	29 May 2022	3,252,164
198	11×2^10797109 + 1	29 May 2022	3,250,255
199	7×2^10612737 − 1	19 May 2022	3,194,154
200	7351117# + 1	14 September 2024	3,191,401
201	37×2^10599476 + 1	17 June 2022	3,190,762
202	5×2^10495620 − 1	26 September 2021	3,159,498
203	${\tfrac {\Phi _{3}(-3^{3304302}+1)}{3}}$	30 June 2023	3,153,105
204	5×2^10349000 − 1	26 September 2021	3,115,361
205	$\Phi _{3}(-844833^{262144})$	17 January 2017	3,107,335
206	17×2^10248660 − 1	8 August 2025	3,085,156
207	52922×5^4399812 − 1	3 August 2023	3,075,342
208	$\Phi _{3}(-712012^{262144})$	14 January 2017	3,068,389
209	177742×5^4386703 − 1	24 July 2023	3,066,180
210	4×3^6402015 + 1	9 September 2024	3,054,539
211	874208×54^1748416 − 1	26 September 2019	3,028,951
212	475856⁵²⁴²⁸⁸ + 1 ^[91]	8 August 2012	2,976,633
213	2×3^6236772 + 1	20 December 2022	2,975,697
214	15×3^9830108 + 1	19 August 2023	2,959,159
215	9×2^9778263 + 1	5 August 2020	2,943,552
216	198×558^1061348 + 1	30 August 2024	2,915,138
217	1806676×41^1806676 + 1	11 March 2018	2,913,785
218	356926⁵²⁴²⁸⁸ + 1 ^[92]	20 June 2012	2,911,151
219	341112⁵²⁴²⁸⁸ + 1 ^[93]	15 June 2012	2,900,832
220	213988×5^4138363 − 1	29 November 2022	2,892,597
221	43×2^9596983 − 1	28 February 2022	2,888,982
222	121×2^9584444 + 1 ^[94]	18 November 2020	2,885,208
223	15×2^9482269 − 1	14 August 2024	2,854,449
224	6533299# − 1	18 August 2024	2,835,864
225	11×2^9381365 + 1	7 March 2020	2,824,074
226	15×2^9312889 + 1	7 August 2023	2,803,461
227	97×2^9305542 + 1	10 May 2025	2,801,250
228	93×2^9235048 + 1	7 May 2025	2,780,029
229	49×2^9187790 + 1	11 September 2022	2,765,803
230	6369619# + 1	12 August 2024	2,765,105
231	27653×2^9167433 + 1 ^[42]	8 June 2005	2,759,677
232	6354977# − 1	12 August 2024	2,758,832
233	90527×2^9162167 + 1	30 June 2010	2,758,093
234	71×2^9161150 − 1	30 August 2026	2,757,783
235	6795×2^9144320 − 1	31 March 2021	2,752,719
236	31×2^9088085 − 1	27 August 2024	2,735,788
237	75×2^9079482 + 1	25 July 2023	2,733,199
238	1323365×116^1323365 + 1 ^[95]	18 January 2018	2,732,038
239	57×2^9075622 − 1	7 August 2022	2,732,037
240	10^2718281 − 5×10^1631138 − 5×10^1087142 − 1	6 August 2024	2,718,281
241	63838×5^3887851 − 1 ^[96]	19 June 2022	2,717,497
242	13×2^8989858 + 1	10 March 2020	2,706,219
243	271357×2^8943013 − 1	13 October 2025	2,692,121
244	4159×2^8938471 − 1	19 April 2022	2,690,752
245	273809×2^8932416 − 1 ^[97]	13 December 2017	2,688,931
246	93×2^8898285 + 1	4 March 2024	2,678,653
247	2×3^5570081 + 1	14 February 2020	2,657,605
248	25×2^8788628 + 1 ^[98]	1 March 2021	2,645,643
249	2038×366^1028507 − 1 ^[99]	4 April 2016	2,636,562
250	64598×5^3769854 − 1	14 June 2022	2,635,020
251	63×2^8741225 + 1	6 May 2024	2,631,373
252	8×785⁹⁰⁰³²⁵ + 1	4 June 2022	2,606,325
253	17×2^8636199 + 1 ^[100]	17 February 2021	2,599,757
254	75898⁵²⁴²⁸⁸ + 1 ^[101]	19 November 2011	2,558,647
255	25×2^8456828 + 1 ^[102]	27 January 2021	2,545,761
256	39×2^8413422 + 1 ^[103]	23 January 2021	2,532,694
257	31×2^8348000 + 1 ^[104]	19 January 2021	2,513,000
258	27×2^8342438 − 1 ^[105]	1 February 2021	2,511,326
259	17×2^8330892 − 1	16 July 2025	2,507,850
260	3867×2^8261084 − 1	14 April 2021	2,486,838
261	101×2^8152967 + 1	2 December 2023	2,454,290
262	9×2^8128075 − 1	8 July 2025	2,446,796
263	273662×5^3493296 − 1 ^[106]	7 December 2021	2,441,715
264	81×2^8109236 + 1	9 September 2022	2,441,126
265	11×2^8103463 + 1	6 March 2020	2,439,387
266	102818×5^3440382 − 1 ^[107]	8 October 2021	2,404,729
267	9×2^7979119 − 1	8 July 2025	2,401,956
268	11×2^7971110 − 1	25 November 2019	2,399,545
269	27×2^7963247 + 1 ^[108]	14 January 2021	2,397,178
270	3177×2^7954621 − 1	13 June 2021	2,394,584
271	39×2^7946769 + 1 ^[109]	14 January 2021	2,392,218
272	7×6^3072198 + 1	4 August 2019	2,390,636
273	3765×2^7904593 − 1	10 January 2021	2,379,524
274	29×2^7899985 + 1 ^[110]	14 January 2021	2,378,134
275	5113×2^7895471 − 1	27 November 2022	2,376,778
276	861×2^7895451 − 1	21 February 2021	2,376,771
277	75×2^7886683 + 1	4 September 2023	2,374,131
278	3243959×2^7862047 + 1	3 December 2025	2,366,719
279	2661×2^7861390 − 1	28 December 2024	2,366,518
280	21×2^7838882 − 1	15 August 2025	2,359,740
281	30397×2^7838120 + 1	17 August 2025	2,359,514
282	99×2^7830910 + 1	24 April 2024	2,357,341
283	28433×2^7830457 + 1 ^[42]	31 December 2004	2,357,207
284	2589×2^7803339 − 1	21 August 2022	2,349,043
285	59×2^7792307 + 1	24 April 2024	2,345,720
286	101×2^7784453 + 1	24 April 2024	2,343,356
287	95×2^7778585 + 1	24 April 2024	2,341,590
288	8401×2^7767655 − 1	24 April 2023	2,338,302
289	9693×2^7767343 − 1	17 November 2023	2,338,208
290	1581658×30^1581658 + 1	17 April 2026	2,336,307
291	5×2^7755002 − 1	23 September 2021	2,334,489
292	2945×2^7753232 − 1	27 November 2022	2,333,959
293	2×836⁷⁹⁸⁴³¹ + 1	10 September 2024	2,333,181
294	63×2^7743186 + 1	24 April 2024	2,330,934
295	2545×2^7732265 − 1	13 January 2021	2,327,648
296	5539×2^7730709 − 1	15 January 2021	2,327,180
297	4817×2^7719584 − 1	13 June 2021	2,323,831
298	2151×2^7719549 − 1	24 May 2026	2,323,820
299	183×558⁸⁴²⁷⁵² + 1	23 August 2024	2,314,734
300	1341174×53^1341174 + 1 ^[111]	21 August 2017	2,312,561
301	9467×2^7680034 − 1	20 February 2022	2,311,925
302	45×2^7661004 + 1 ^[112]	13 December 2020	2,306,194
303	15×2^7619838 + 1 ^[113]	6 December 2020	2,293,801
304	3645×2^7610003 − 1	28 August 2025	2,290,843
305	3597×2^7580693 − 1	10 January 2021	2,282,020
306	5256037# + 1	6 August 2024	2,281,955
307	38118498221×2^7552807 + 1	7 October 2025	2,273,633
308	3129×2^7545557 − 1	14 March 2023	2,271,443
309	7401×2^7523295 − 1	21 February 2021	2,264,742
310	45×2^7513661 + 1 ^[114]	12 November 2020	2,261,839
311	$\Phi _{3}(-558640^{196608})$	11 January 2017	2,259,865
312	2739×2^7483537 − 1	1 May 2025	2,252,773
313	9×2^7479919 − 1	3 June 2023	2,251,681
314	1875×2^7474308 − 1	21 August 2022	2,249,995
315	69×2^7452023 + 1	23 March 2023	2,243,285
316	1281879×2^7447178 + 1	27 December 2023	2,241,831
317	9107×2^7417464 − 1	3 May 2025	2,232,884
318	4×5^3189669 − 1	12 July 2022	2,229,484
319	19×2^7383785 − 1	11 July 2025	2,222,743
320	29×2^7374577 + 1 ^[115]	27 October 2020	2,219,971
321	2653×2^7368343 − 1	18 September 2024	2,218,096
322	21555×2^7364128 − 1	4 September 2024	2,216,828
323	3197×2^7359542 − 1	27 November 2022	2,215,447
324	109838×5^3168862 − 1 ^[116]	13 August 2020	2,214,945
325	95×2^7354869 + 1	25 September 2023	2,214,039
326	101×2^7345194 − 1	5 October 2019	2,211,126
327	85×2^7333444 + 1	25 September 2023	2,207,589
328	15×2^7300254 + 1 ^[117]	25 October 2020	2,197,597
329	6733×2^7285527 − 1	26 October 2025	2,193,166
330	422429! + 1	21 February 2022	2,193,027
331	1759×2^7284439 − 1	28 August 2021	2,192,838
332	1909683×14^1909683 + 1	27 May 2023	2,188,748
333	737×2^7269322 − 1	10 August 2017	2,188,287
334	6909×2^7258896 − 1	18 September 2024	2,185,150
335	93×2^7241494 + 1	25 September 2023	2,179,909
336	118568×5^3112069 + 1 ^[118]	1 May 2020	2,175,248
337	4215×2^7221386 − 1	27 December 2024	2,173,858
338	40×257⁹⁰¹⁶³² + 1	11 September 2024	2,172,875
339	1685×2^7213108 − 1	13 April 2025	2,171,366
340	580633×2^7208783 − 1	15 February 2024	2,170,066
341	6039×2^7207973 − 1	24 March 2021	2,169,820
342	1871×2^7207954 − 1	26 September 2025	2,169,814
343	502573×2^7181987 − 1 ^[119]	4 October 2014	2,162,000
344	1503×2^7175467 − 1	2 May 2026	2,160,034
345	402539×2^7173024 − 1 ^[120]	2 October 2014	2,159,301
346	3343×2^7166019 − 1	29 September 2016	2,157,191
347	4137×2^7132569 − 1	11 April 2025	2,147,121
348	161041×2^7107964 + 1 ^[121]	6 January 2015	2,139,716
349	294×213⁹¹⁸⁹⁵² − 1	19 September 2023	2,139,672
350	17×2^7101254 − 1	11 July 2025	2,137,692
351	27×2^7046834 + 1 ^[122]	11 October 2018	2,121,310
352	1759×2^7046791 − 1	28 August 2021	2,121,299
353	327×2^7044001 − 1	13 January 2021	2,120,459
354	5×2^7037188 − 1	22 September 2021	2,118,406
355	3×2^7033641 + 1 ^[123]	21 February 2011	2,117,338
356	625783×2^7031319 − 1	10 February 2024	2,116,644
357	33661×2^7031232 + 1 ^[42]	30 October 2007	2,116,617
358	$\Phi _{3}(-237804^{196608})$	6 January 2017	2,114,016
359	207494×5^3017502 − 1	16 March 2020	2,109,149
360	15×2^6993631 − 1	25 August 2021	2,105,294
361	8943501×2^6972593 − 1	8 January 2022	2,098,967
362	6020095×2^6972593 − 1	4 September 2022	2,098,967
363	2^6972593 − 1 ^[124]	1 June 1999	2,098,960
364	100206278²⁶²¹⁴⁴ + 1	26 January 2026	2,097,387
365	100013182²⁶²¹⁴⁴ + 1	26 January 2026	2,097,168
366	273×2^6963847 − 1	16 November 2022	2,096,330
367	98348488²⁶²¹⁴⁴ + 1	16 October 2026	2,095,257
368	6219×2^6958945 − 1	7 January 2021	2,094,855
369	97861580²⁶²¹⁴⁴ + 1	29 September 2026	2,094,692
370	97314420²⁶²¹⁴⁴ + 1	12 September 2026	2,094,053
371	96721520²⁶²¹⁴⁴ + 1	24 August 2026	2,093,357
372	96633068²⁶²¹⁴⁴ + 1	18 August 2026	2,093,253
373	95511706²⁶²¹⁴⁴ + 1	6 August 2026	2,091,924
374	51×2^6945567 + 1	26 May 2020	2,090,826
375	94446258²⁶²¹⁴⁴ + 1	21 July 2026	2,090,647
376	93676308²⁶²¹⁴⁴ + 1	3 July 2026	2,089,715
377	93590610²⁶²¹⁴⁴ + 1	1 July 2026	2,089,611
378	92943822²⁶²¹⁴⁴ + 1	17 June 2026	2,088,822
379	92605848²⁶²¹⁴⁴ + 1	12 June 2026	2,088,407
380	91898096²⁶²¹⁴⁴ + 1	5 June 2026	2,087,534
381	91056676²⁶²¹⁴⁴ + 1	26 May 2026	2,086,486
382	90874290²⁶²¹⁴⁴ + 1	24 May 2026	2,085,875
383	90569054²⁶²¹⁴⁴ + 1	18 May 2026	2,085,875
384	89868368²⁶²¹⁴⁴ + 1	9 May 2026	2,084,991
385	8×10^2084563 − 1	1 June 2025	2,084,564
386	89239070²⁶²¹⁴⁴ + 1	27 April 2026	2,084,191
387	3323×2^6921196 − 1	18 September 2024	2,083,492
388	88088376²⁶²¹⁴⁴ + 1	8 April 2026	2,082,713
389	238694×5^2979422 − 1 ^[125]	12 March 2020	2,082,532
390	87887018²⁶²¹⁴⁴ + 1	6 April 2026	2,082,453
391	87801308²⁶²¹⁴⁴ + 1	4 April 2026	2,082,342
392	87124982²⁶²¹⁴⁴ + 1	26 March 2026	2,081,461
393	86369496²⁶²¹⁴⁴ + 1	18 March 2026	2,080,470
394	4×72^1119849 − 1 ^[99]	7 September 2016	2,079,933
395	84561734²⁶²¹⁴⁴ + 1	7 March 2026	2,078,062
396	129×2^6900230 + 1	5 June 2025	2,077,179
397	83479504²⁶²¹⁴⁴ + 1	2 March 2026	2,076,595
398	83211382²⁶²¹⁴⁴ + 1	27 February 2026	2,076,229
399	33×2^6894190 − 1	27 July 2021	2,075,360
400	82060924²⁶²¹⁴⁴ + 1	20 February 2026	2,074,644
401	4778027# − 1	31 July 2024	2,073,926
402	105×2^6884697 + 1	2 June 2025	2,072,503
403	80514060²⁶²¹⁴⁴ + 1	10 February 2026	2,072,477
404	2345×2^6882320 − 1	13 April 2022	2,071,789
405	79523718²⁶²¹⁴⁴ + 1	5 February 2026	2,071,068
406	77784266²⁶²¹⁴⁴ + 1	20 January 2026	2,068,550
407	77708974²⁶²¹⁴⁴ + 1	19 January 2026	2,068,440
408	77662142²⁶²¹⁴⁴ + 1	18 January 2026	2,068,372
409	77586084²⁶²¹⁴⁴ + 1	17 January 2026	2,068,260
410	77412518²⁶²¹⁴⁴ + 1	14 January 2026	2,068,005
411	76013952²⁶²¹⁴⁴ + 1	25 December 2025	2,065,929
412	75810636²⁶²¹⁴⁴ + 1	20 December 2025	2,065,624
413	75753274²⁶²¹⁴⁴ + 1	20 December 2025	2,065,538
414	57×2^6857990 + 1	17 August 2023	2,064,463
415	146264×5^2953282 − 1 ^[126]	9 March 2020	2,064,261
416	74732694²⁶²¹⁴⁴ + 1	10 December 2025	2,063,994
417	74716572²⁶²¹⁴⁴ + 1	10 December 2025	2,063,970
418	74399970²⁶²¹⁴⁴ + 1	5 December 2025	2,063,486
419	74336726²⁶²¹⁴⁴ + 1	4 December 2025	2,063,389
420	73597220²⁶²¹⁴⁴ + 1	25 November 2025	2,062,251
421	73589294²⁶²¹⁴⁴ + 1	24 November 2025	2,062,239
422	73465436²⁶²¹⁴⁴ + 1	21 November 2025	2,062,047
423	73116844²⁶²¹⁴⁴ + 1	13 November 2025	2,061,505
424	72862906²⁶²¹⁴⁴ + 1	9 November 2025	2,061,109
425	72752758²⁶²¹⁴⁴ + 1	4 November 2025	2,060,937
426	72718062²⁶²¹⁴⁴ + 1	4 November 2025	2,060,883
427	72071732²⁶²¹⁴⁴ + 1	22 October 2025	2,059,866
428	71737620²⁶²¹⁴⁴ + 1	18 October 2025	2,059,337
429	71380700²⁶²¹⁴⁴ + 1	13 October 2025	2,058,770
430	69×2^6838971 − 1	1 March 2020	2,058,738
431	35816×5^2945294 − 1 ^[127]	5 March 2020	2,058,677
432	71107798²⁶²¹⁴⁴ + 1	11 October 2025	2,058,333
433	127×2^6836153 − 1	25 June 2018	2,057,890
434	105×2^6835099 + 1	26 May 2025	2,057,572
435	70520422²⁶²¹⁴⁴ + 1	29 September 2025	2,057,389
436	70349734²⁶²¹⁴⁴ + 1	27 September 2025	2,057,113
437	19×2^6833086 + 1 ^[128]	24 October 2020	2,056,966
438	69844790²⁶²¹⁴⁴ + 1	22 September 2025	2,056,293
439	69810332²⁶²¹⁴⁴ + 1	22 September 2025	2,056,237
440	69290228²⁶²¹⁴⁴ + 1	20 September 2025	2,055,386
441	69170386²⁶²¹⁴⁴ + 1	13 September 2025	2,055,189
442	68717884²⁶²¹⁴⁴ + 1	30 August 2025	2,054,441
443	68000464²⁶²¹⁴⁴ + 1	10 August 2025	2,053,246
444	67886950²⁶²¹⁴⁴ + 1	9 August 2025	2,053,056
445	67673558²⁶²¹⁴⁴ + 1	5 August 2025	2,052,698
446	67535128²⁶²¹⁴⁴ + 1	2 August 2025	2,052,465
447	67433562²⁶²¹⁴⁴ + 1	2 August 2025	2,052,293
448	67167678²⁶²¹⁴⁴ + 1	24 July 2025	2,051,844
449	67141518²⁶²¹⁴⁴ + 1	24 July 2025	2,051,799
450	67062340²⁶²¹⁴⁴ + 1	22 July 2025	2,051,665
451	66498472²⁶²¹⁴⁴ + 1	8 July 2025	2,050,704
452	66342922²⁶²¹⁴⁴ + 1	4 July 2025	2,050,437
453	66266188²⁶²¹⁴⁴ + 1	3 July 2025	2,050,305
454	65×2^6810465 + 1	22 September 2023	2,050,157
455	40597×2^6808509 − 1 ^[129]	25 December 2013	2,049,571
456	283×2^6804701 − 1	19 January 2020	2,048,431
457	65136498²⁶²¹⁴⁴ + 1	20 June 2025	2,048,348
458	64989720²⁶²¹⁴⁴ + 1	18 June 2025	2,048,091
459	64074894²⁶²¹⁴⁴ + 1	30 May 2025	2,046,447
460	64010198²⁶²¹⁴⁴ + 1	30 May 2025	2,046,362
461	63833640²⁶²¹⁴⁴ + 1	27 May 2025	2,046,047
462	8×10^2045966 − 1	31 May 2025	2,045,967
463	63784742²⁶²¹⁴⁴ + 1	26 May 2025	2,045,960
464	63558122²⁶²¹⁴⁴ + 1	27 May 2025	2,045,555
465	63448958²⁶²¹⁴⁴ + 1	22 May 2025	2,045,359
466	63286690²⁶²¹⁴⁴ + 1	19 May 2025	2,045,068
467	62767176²⁶²¹⁴⁴ + 1	9 May 2025	2,044,129
468	62747994²⁶²¹⁴⁴ + 1	9 May 2025	2,044,095
469	1861209×2^6789999 + 1	2 December 2020	2,044,000
470	5817×2^6789459 − 1	9 January 2021	2,043,835
471	62311952²⁶²¹⁴⁴ + 1	3 May 2025	2,043,301
472	62199610²⁶²¹⁴⁴ + 1	5 May 2025	2,043,095
473	62152830²⁶²¹⁴⁴ + 1	1 May 2025	2,043,010
474	62136706²⁶²¹⁴⁴ + 1	2 May 2025	2,042,980
475	8435×2^6786180 − 1	7 January 2021	2,042,848
476	61238184²⁶²¹⁴⁴ + 1	21 April 2025	2,041,322
477	119×2^6777781 + 1	18 May 2025	2,040,318
478	59145944²⁶²¹⁴⁴ + 1	29 March 2025	2,037,364
479	58936230²⁶²¹⁴⁴ + 1	28 March 2025	2,036,960
480	58870004²⁶²¹⁴⁴ + 1	28 March 2025	2,036,832
481	58846688²⁶²¹⁴⁴ + 1	28 March 2025	2,036,787
482	58333324²⁶²¹⁴⁴ + 1	28 March 2025	2,035,789
483	58288282²⁶²¹⁴⁴ + 1	28 March 2025	2,035,701
484	57643582²⁶²¹⁴⁴ + 1	28 March 2025	2,034,435
485	57594478²⁶²¹⁴⁴ + 1	28 March 2025	2,034,338
486	57478518²⁶²¹⁴⁴ + 1	28 March 2025	2,034,108
487	57429230²⁶²¹⁴⁴ + 1	27 March 2025	2,034,111
488	51×2^6753404 + 1	26 May 2020	2,032,979
489	93×2^6750726 + 1	18 September 2023	2,032,173
490	56303352²⁶²¹⁴⁴ + 1	27 March 2025	2,031,757
491	56295176²⁶²¹⁴⁴ + 1	26 March 2025	2,031,740
492	55952434²⁶²¹⁴⁴ + 1	26 March 2025	2,031,045
493	55892864²⁶²¹⁴⁴ + 1	27 March 2025	2,030,920
494	69×2^6745775 + 1	21 March 2023	2,030,683
495	55702322²⁶²¹⁴⁴ + 1	27 March 2025	2,030,535
496	55695224²⁶²¹⁴⁴ + 1	25 March 2025	2,030,520
497	55169618²⁶²¹⁴⁴ + 1	25 March 2025	2,029,441
498	55007338²⁶²¹⁴⁴ + 1	25 March 2025	2,029,105
499	54852328²⁶²¹⁴⁴ + 1	25 March 2025	2,028,784
500	54528918²⁶²¹⁴⁴ + 1	26 March 2025	2,028,111
501	54044092²⁶²¹⁴⁴ + 1	24 March 2025	2,027,094
502	53903472²⁶²¹⁴⁴ + 1	24 March 2025	2,026,797
503	53750036²⁶²¹⁴⁴ + 1	24 March 2025	2,026,473
504	53616962²⁶²¹⁴⁴ + 1	28 March 2025	2,026,191
505	53311612²⁶²¹⁴⁴ + 1	24 March 2025	2,025,540
506	4681×2^6728157 − 1	25 August 2025	2,025,381
507	53008094²⁶²¹⁴⁴ + 1	23 March 2025	2,024,890
508	52648144²⁶²¹⁴⁴ + 1	21 March 2025	2,024,115
509	52599274²⁶²¹⁴⁴ + 1	20 March 2025	2,024,009
510	52592976²⁶²¹⁴⁴ + 1	21 March 2025	2,023,995
511	117×2^6719464 + 1	10 May 2025	2,022,763
512	51992174²⁶²¹⁴⁴ + 1	16 March 2025	2,022,687
513	51852794²⁶²¹⁴⁴ + 1	14 March 2025	2,022,382
514	51714136²⁶²¹⁴⁴ + 1	13 March 2025	2,022,077
515	51283286²⁶²¹⁴⁴ + 1	9 March 2025	2,021,124
516	51125138²⁶²¹⁴⁴ + 1	7 March 2025	2,020,773
517	9995×2^6711008 − 1	31 December 2020	2,020,219
518	50454356²⁶²¹⁴⁴ + 1	1 March 2025	2,019,269
519	50449664²⁶²¹⁴⁴ + 1	28 February 2025	2,019,259
520	50366208²⁶²¹⁴⁴ + 1	28 February 2025	2,019,070
521	50121532²⁶²¹⁴⁴ + 1	27 February 2025	2,018,516
522	49536902²⁶²¹⁴⁴ + 1	25 February 2025	2,017,180
523	49235348²⁶²¹⁴⁴ + 1	23 February 2025	2,016,485
524	49209090²⁶²¹⁴⁴ + 1	23 February 2025	2,016,424
525	48055302²⁶²¹⁴⁴ + 1	18 February 2025	2,013,723
526	47707672²⁶²¹⁴⁴ + 1	16 February 2025	2,012,896
527	39×2^6684941 + 1 ^[130]	20 October 2020	2,012,370
528	47351862²⁶²¹⁴⁴ + 1	15 February 2025	2,012,044
529	47281922²⁶²¹⁴⁴ + 1	13 February 2025	2,011,876
530	47255958²⁶²¹⁴⁴ + 1	13 February 2025	2,011,813
531	6679881×2^6679881 + 1 ^[131]	25 July 2009	2,010,852
532	46831458²⁶²¹⁴⁴ + 1	11 February 2025	2,010,786
533	46378776²⁶²¹⁴⁴ + 1	8 February 2025	2,009,680
534	45073202²⁶²¹⁴⁴ + 1	21 January 2025	2,006,469
535	45007104²⁶²¹⁴⁴ + 1	19 January 2025	2,006,202
536	44819108²⁶²¹⁴⁴ + 1	14 January 2025	2,005,786
537	44666524²⁶²¹⁴⁴ + 1	12 January 2025	2,005,397
538	6×579⁷²⁵⁷⁹² + 1	20 October 2026	2,005,131
539	37×2^6660841 − 1 ^[99]	30 July 2014	2,005,115
540	44144624²⁶²¹⁴⁴ + 1	29 December 2024	2,004,059
541	44030166²⁶²¹⁴⁴ + 1	30 December 2024	2,003,764
542	43330794²⁶²¹⁴⁴ + 1	3 December 2024	2,001,941
543	39×2^6648997 + 1 ^[132]	20 October 2020	2,001,550
544	42781592²⁶²¹⁴⁴ + 1	18 November 2024	2,000,489
545	10^2000007 − 10^1127194 − 10⁸⁷²⁸¹² − 1	12 January 2024	2,000,007
546	10^2000005 − 10^1051046 − 10⁹⁴⁸⁹⁵⁸ − 1	6 January 2024	2,000,005

Largest known probable primes (PRPs)

These are probable primes. Primality has not been proven because it is too hard for general numbers of this size but they are expected to be primes. F(n) is the nth Fibonacci number.

Rank^[133]	Number	Discovery date	Decimal digits
1	${\tfrac {10^{8177207}-1}{9}}$ ^[133]	8 May 2021	8,177,207
2	${\tfrac {10^{5794777}-1}{9}}$ ^[133]	19 April 2021	5,794,777
3	${\tfrac {2^{15135397}+1}{3}}$ ^[133]	June 2021	4,556,209
4	${\tfrac {21^{3078871}-1}{20}}$ ^[133]	June 2026	4,070,942
5	${\tfrac {3^{8530117}-1}{2}}$ ^[133]	November 2023	4,069,900
6	2^13380298 − 27 ^[133]	March 2021	4,027,872
7	${\tfrac {2^{13372531}+1}{3}}$ ^[133]	September 2013	4,025,533
8	${\tfrac {2^{13347311}+1}{3}}$ ^[133]	September 2013	4,017,941
9	${\tfrac {2^{12720787}-1}{1666870069020922905132673131516413926009285199}}$ ^[133]	3 July 2022	3,829,294
10	${\tfrac {3^{7973131}-1}{2}}$ ^[133]	November 2023	3,804,150
11	${\tfrac {2^{12588091}-1}{32075464348897282169539424801}}$ ^[133]	10 April 2023	3,789,365
12	${\tfrac {2^{12503723}-2^{6251862}+1}{5}}$ ^[133]	July 2020	3,763,995
13	${\tfrac {5^{5154509}-1}{4}}$ ^[133]	February 2024	3,602,847
14	${\tfrac {5^{4939471}-1}{4}}$ ^[133]	January 2024	3,452,542
15	${\tfrac {3^{7034611}+1}{4}}$ ^[133]	December 2024	3,356,362
16	${\tfrac {6^{4120873}+1}{7}}$ ^[133]	April 2026	3,206,662
17	${\tfrac {2^{10443557}-1}{37289325994807}}$ ^[133]	9 July 2020	3,143,811
18	${\tfrac {7^{3417779}+1}{8}}$ ^[133]	November 2025	2,888,358
19	2^9092392 + 40291 ^[133]	February 2011	2,737,083
20	${\tfrac {14^{2307467}+1}{15}}$ ^[133]	June 2025	2,644,652
21	${\tfrac {6^{3360347}-1}{5}}$ ^[133]	October 2023	2,614,858
22	${\tfrac {9^{2698541}+1}{10}}$ ^[133]	February 2026	2,575,062
23	F(11964299) ^[133]	28 June 2025	2,500,391
24	${\tfrac {2^{8247949}-1}{45487316822291087700751210632267642069671672071}}$ ^[133]	3 June 2024	2,482,834
25	${\tfrac {17^{1990523}-1}{16}}$ ^[133]	August 2020	2,449,236
26	${\tfrac {35963^{524288}+1}{2}}$ ^[133]	August 2022	2,388,581
27	500186⁵⁴⁴⁶⁵ + 54465⁵⁰⁰¹⁸⁶ ^[133]	August 2024	2,368,940
28	${\tfrac {11^{2264611}+1}{12}}$ ^[133]	July 2021	2,358,349
29	${\tfrac {5^{3300593}-1}{4}}$ ^[133]	February 2022	2,307,015
30	${\tfrac {3^{4694803}+2^{4694803}}{5}}$ ^[133]	December 2023	2,239,990
31	${\tfrac {2^{7313983}-1}{305492080276193}}$ ^[133]	1 March 2018	2,201,714
32	${\tfrac {3^{4571447}+2^{4571447}}{5}}$ ^[133]	December 2023	2,181,134
33	${\tfrac {15^{1848811}+1}{16}}$ ^[133]	July 2024	2,174,370
34	F(10367321) ^[133]	10 August 2024	2,166,642
35	${\tfrac {15^{1841911}+1}{16}}$ ^[133]	July 2024	2,166,255
36	3^4532794 + 4532794³ ^[133]	October 2023	2,162,693
37	F(10317107) ^[133]	27 July 2024	2,156,148
38	${\tfrac {2^{7080247}-1}{17045259548603283727480473638587228614426296913631}}$ ^[133]	27 October 2017	2,131,318
39	360834³⁵⁶³⁴⁵ + 356345³⁶⁰⁸³⁴ ^[133]	February 2024	2,003,304
40	360339³⁵⁶⁵⁷² + 356572³⁶⁰³³⁹ ^[133]	May 2024	2,000,656

References

↑ Caldwell, Chris K. "THE LARGEST KNOWN PRIMES (The 5,000 largest known primes)". Retrieved 23 November 2018.
↑ The known primes with 2,000,000 digits or more
↑ "Official press release of 52nd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 21 October 2024.
↑ "Official press release of 51st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 7 December 2018.
↑ "Official press release of 50th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 26 December 2017.
↑ "Official press release of 49th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 7 January 2016.
↑ "Official press release of 48th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
↑ Official announcement of discovery of 2524190^2097152 + 1, PrimeGrid
1 2 "Official press release of 45th and 46th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 10 September 2008.
↑ "Official press release of 47th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
↑ "PrimePage Primes: Phi(3, - 516693^1048576)". t5k.org. Retrieved 18 October 2024.
↑ "PrimePage Primes: Phi(3, - 465859^1048576)". t5k.org. Retrieved 18 October 2024.
↑ "Official press release of 44th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
↑ Official announcement of discovery of 10223×2^31172165 + 1, PrimeGrid
↑ "Official press release of 43rd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
↑ "Official press release of 42nd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
↑ Official announcement of discovery of 4052186×69^4052186 + 1, PrimeGrid
↑ "Official press release of 41st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
↑ Official announcement of discovery of 7172162^1048576 + 1, PrimeGrid
↑ Official announcement of discovery of 5336284^1048576 + 1, PrimeGrid
↑ Official announcement of discovery of 3×2^23157875 − 1, PrimeGrid
↑ Official announcement of discovery of 3843236^1048576 + 1, PrimeGrid
↑ Official announcement of discovery of 3×2^22103376 − 1, PrimeGrid
↑ Official announcement of discovery of 1963736^1048576 + 1, PrimeGrid
↑ Official announcement of discovery of 1951734^1048576 + 1, PrimeGrid
↑ Official announcement of discovery of 202705×2^21320516 + 1, PrimeGrid
↑ "Official press release of 40th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
↑ Official announcement of discovery of 1059094^1048576 + 1, PrimeGrid
↑ Official announcement of discovery of 3×2^20928756 − 1, PrimeGrid
↑ Official announcement of discovery of 919444^1048576 + 1, PrimeGrid
↑ Official announcement of discovery of 168451×2^19375200 + 1, PrimeGrid
↑ Official announcement of discovery of 3×2^18924888 − 1, PrimeGrid
↑ Official announcement of discovery of 3×2^18196595 − 1, PrimeGrid
↑ Official announcement of discovery of 3×2^17748034 − 1, PrimeGrid
↑ Official announcement of discovery of 8508301×2^17016603 − 1, PrimeGrid
↑ Official announcement of discovery of 3×2^16819291 − 1, PrimeGrid
↑ Official announcement of discovery of 3×2^16408818 + 1, PrimeGrid
↑ Official announcement of discovery of 2525332×73^2525332 + 1, PrimeGrid
↑ Official announcement of discovery of 99739×2^14019102 + 1, PrimeGrid
↑ "Official press release of 39th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
↑ Official announcement of discovery of 2805222×5^5610444 + 1, PrimeGrid
1 2 3 4 5 6 7 8 9 10 11 12 Chris Caldwell, The Largest Known Primes at The PrimePages.
↑ Official announcement of discovery of 29002212⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 27985952⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 25457072⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 23865586⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 23680116⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 22970694⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 22444816⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 22306708⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 21826264⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 67612×5^5501582 + 1, PrimeGrid
↑ Official announcement of discovery of 19981416⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 19409636⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 18703062⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 18529322⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 17997078⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 17544674⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 17502532⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 17177670⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 17177670⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 16211276⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 15958750⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 15852200⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 13520762⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 13427472⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 12900356⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 12693488⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 11937916⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 10913140⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 9332124⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 8630170⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 3×2^11895718−1, PrimeGrid
↑ Official announcement of discovery of 6339004⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 3×2^11731850 − 1, PrimeGrid
↑ Official announcement of discovery of 4896418⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 3×2^11484018 − 1, PrimeGrid
↑ Official announcement of discovery of 193997×2^11452891 + 1, PrimeGrid
↑ Official announcement of discovery of 3638450⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 9221×2^11392194 − 1, PrimeGrid
↑ Official announcement of discovery of 3214654⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 146561×2^11280802 − 1, PrimeGrid
↑ Official announcement of discovery of 2985036⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 2877652⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 2788032⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 2733014⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 2312092⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 2061748⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 1880370⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 3×2^10829346 + 1, PrimeGrid
↑ Official announcement of discovery of 475856⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 356926⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 341112⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 121×2^9584444 + 1, PrimeGrid
↑ Official announcement of discovery of 1323365×116^1323365 + 1, PrimeGrid
↑ Official announcement of discovery of 63838×5^3887851 − 1, PrimeGrid
↑ Official announcement of discovery of 273809×2^8932416 − 1, PrimeGrid
↑ Official announcement of discovery of 25×2^8788628 + 1, PrimeGrid
1 2 3 "CRUS - Proven Conjectures". www.noprimeleftbehind.net.
↑ Official announcement of discovery of 17×2^8636199 + 1, PrimeGrid
↑ Official announcement of discovery of 75898⁵²⁴²⁸⁸ + 1, PrimeGrid
↑ Official announcement of discovery of 25×2^8456828 + 1, PrimeGrid
↑ Official announcement of discovery of 39×2^8413822 + 1, PrimeGrid
↑ Official announcement of discovery of 31×2^8348000 + 1, PrimeGrid
↑ Official announcement of discovery of 27×2^8342438 − 1, PrimeGrid
↑ Official announcement of discovery of 273662×5^3493296 + 1, PrimeGrid
↑ 102818×5^3440382 − 1, PrimeGrid
↑ Official announcement of discovery of 27×2^7963247 + 1, PrimeGrid
↑ Official announcement of discovery of 39×2^7946769 + 1, PrimeGrid
↑ Official announcement of discovery of 29×2^7899985 + 1, PrimeGrid
↑ Official announcement of discovery of 1341174×53^1341174 + 1, PrimeGrid
↑ Official announcement of discovery of 45×2^7661004 + 1, PrimeGrid
↑ Official announcement of discovery of 15×2^7619838 + 1, PrimeGrid
↑ Official announcement of discovery of 45×2^7513661 + 1, PrimeGrid
↑ Official announcement of discovery of 29×2^7374577 + 1, PrimeGrid
↑ 109838×5^3168862 − 1, PrimeGrid
↑ Official announcement of discovery of 29×2^7300254 + 1, PrimeGrid
↑ 118568×5^3112069 + 1, PrimeGrid
↑ Official announcement of discovery of 502573×2^7181987 − 1, PrimeGrid
↑ Official announcement of discovery of 402539×2^7173024 − 1, PrimeGrid
↑ Official announcement of discovery of 161041×2^7107964 + 1, PrimeGrid
↑ Official announcement of discovery of 27×2^7046834 + 1, PrimeGrid
↑ Official announcement of discovery of 3×2^7033641 + 1, PrimeGrid
↑ GIMPS press release, GIMPS Finds First Million-Digit Prime. Retrieved on 2008-01-04.
↑ 238694×5^2979422 − 1, PrimeGrid
↑ 146264×5^2953282 − 1, PrimeGrid
↑ 35816×5^2945294 − 1, PrimeGrid
↑ Official announcement of discovery of 19×2^6833086 + 1, PrimeGrid
↑ Official announcement of discovery of 40597×2^6808509 − 1, PrimeGrid
↑ Official announcement of discovery of 39×2^6684941 + 1, PrimeGrid
↑ Official announcement of discovery of 6679881×2^6679881 + 1, PrimeGrid
↑ Official announcement of discovery of 39×2^6648997 + 1, PrimeGrid
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 Henri Lifchitz & Renaud Lifchitz, Probable Primes Top 10000, primenumbers.net

External links

Chris Caldwell, The Largest Known Primes Database at The PrimePages
The 5000 largest known primes at The PrimePages
The 10,000 largest known probable primes at primenumbers.net
PrimeGrid’s 321 Prime Search, about the discovery of 3×2^6090515−1
https://t5k.org/primes/page.php?id=142371

[1] Caldwell, Chris K. "THE LARGEST KNOWN PRIMES (The 5,000 largest known primes)". Retrieved 23 November 2018.

[2] The known primes with 2,000,000 digits or more

[3] "Official press release of 52nd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 21 October 2024.

[4] "Official press release of 51st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 7 December 2018.

[5] "Official press release of 50th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 26 December 2017.

[6] "Official press release of 49th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 7 January 2016.

[7] "Official press release of 48th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[8] Official announcement of discovery of 2524190^2097152 + 1, PrimeGrid

[4546prime-9] 1 2 "Official press release of 45th and 46th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 10 September 2008.

[10] "Official press release of 47th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[11] "PrimePage Primes: Phi(3, - 516693^1048576)". t5k.org. Retrieved 18 October 2024.

[12] "PrimePage Primes: Phi(3, - 465859^1048576)". t5k.org. Retrieved 18 October 2024.

[13] "Official press release of 44th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[14] Official announcement of discovery of 10223×2^31172165 + 1, PrimeGrid

[15] "Official press release of 43rd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[16] "Official press release of 42nd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[17] Official announcement of discovery of 4052186×69^4052186 + 1, PrimeGrid

[18] "Official press release of 41st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[19] Official announcement of discovery of 7172162^1048576 + 1, PrimeGrid

[20] Official announcement of discovery of 5336284^1048576 + 1, PrimeGrid

[21] Official announcement of discovery of 3×2^23157875 − 1, PrimeGrid

[22] Official announcement of discovery of 3843236^1048576 + 1, PrimeGrid

[23] Official announcement of discovery of 3×2^22103376 − 1, PrimeGrid

[24] Official announcement of discovery of 1963736^1048576 + 1, PrimeGrid

[25] Official announcement of discovery of 1951734^1048576 + 1, PrimeGrid

[26] Official announcement of discovery of 202705×2^21320516 + 1, PrimeGrid

[27] "Official press release of 40th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[28] Official announcement of discovery of 1059094^1048576 + 1, PrimeGrid

[29] Official announcement of discovery of 3×2^20928756 − 1, PrimeGrid

[30] Official announcement of discovery of 919444^1048576 + 1, PrimeGrid

[31] Official announcement of discovery of 168451×2^19375200 + 1, PrimeGrid

[32] Official announcement of discovery of 3×2^18924888 − 1, PrimeGrid

[33] Official announcement of discovery of 3×2^18196595 − 1, PrimeGrid

[34] Official announcement of discovery of 3×2^17748034 − 1, PrimeGrid

[35] Official announcement of discovery of 8508301×2^17016603 − 1, PrimeGrid

[36] Official announcement of discovery of 3×2^16819291 − 1, PrimeGrid

[37] Official announcement of discovery of 3×2^16408818 + 1, PrimeGrid

[38] Official announcement of discovery of 2525332×73^2525332 + 1, PrimeGrid

[39] Official announcement of discovery of 99739×2^14019102 + 1, PrimeGrid

[40] "Official press release of 39th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[41] Official announcement of discovery of 2805222×5^5610444 + 1, PrimeGrid

[The_largest_known_primes-42] 1 2 3 4 5 6 7 8 9 10 11 12 Chris Caldwell, The Largest Known Primes at The PrimePages.

[43] Official announcement of discovery of 29002212⁵²⁴²⁸⁸ + 1, PrimeGrid

[44] Official announcement of discovery of 27985952⁵²⁴²⁸⁸ + 1, PrimeGrid

[45] Official announcement of discovery of 25457072⁵²⁴²⁸⁸ + 1, PrimeGrid

[46] Official announcement of discovery of 23865586⁵²⁴²⁸⁸ + 1, PrimeGrid

[47] Official announcement of discovery of 23680116⁵²⁴²⁸⁸ + 1, PrimeGrid

[48] Official announcement of discovery of 22970694⁵²⁴²⁸⁸ + 1, PrimeGrid

[49] Official announcement of discovery of 22444816⁵²⁴²⁸⁸ + 1, PrimeGrid

[50] Official announcement of discovery of 22306708⁵²⁴²⁸⁸ + 1, PrimeGrid

[51] Official announcement of discovery of 21826264⁵²⁴²⁸⁸ + 1, PrimeGrid

[52] Official announcement of discovery of 67612×5^5501582 + 1, PrimeGrid

[53] Official announcement of discovery of 19981416⁵²⁴²⁸⁸ + 1, PrimeGrid

[54] Official announcement of discovery of 19409636⁵²⁴²⁸⁸ + 1, PrimeGrid

[55] Official announcement of discovery of 18703062⁵²⁴²⁸⁸ + 1, PrimeGrid

[56] Official announcement of discovery of 18529322⁵²⁴²⁸⁸ + 1, PrimeGrid

[57] Official announcement of discovery of 17997078⁵²⁴²⁸⁸ + 1, PrimeGrid

[58] Official announcement of discovery of 17544674⁵²⁴²⁸⁸ + 1, PrimeGrid

[59] Official announcement of discovery of 17502532⁵²⁴²⁸⁸ + 1, PrimeGrid

[60] Official announcement of discovery of 17177670⁵²⁴²⁸⁸ + 1, PrimeGrid

[61] Official announcement of discovery of 17177670⁵²⁴²⁸⁸ + 1, PrimeGrid

[62] Official announcement of discovery of 16211276⁵²⁴²⁸⁸ + 1, PrimeGrid

[63] Official announcement of discovery of 15958750⁵²⁴²⁸⁸ + 1, PrimeGrid

[64] Official announcement of discovery of 15852200⁵²⁴²⁸⁸ + 1, PrimeGrid

[65] Official announcement of discovery of 13520762⁵²⁴²⁸⁸ + 1, PrimeGrid

[66] Official announcement of discovery of 13427472⁵²⁴²⁸⁸ + 1, PrimeGrid

[67] Official announcement of discovery of 12900356⁵²⁴²⁸⁸ + 1, PrimeGrid

[68] Official announcement of discovery of 12693488⁵²⁴²⁸⁸ + 1, PrimeGrid

[69] Official announcement of discovery of 11937916⁵²⁴²⁸⁸ + 1, PrimeGrid

[70] Official announcement of discovery of 10913140⁵²⁴²⁸⁸ + 1, PrimeGrid

[71] Official announcement of discovery of 9332124⁵²⁴²⁸⁸ + 1, PrimeGrid

[72] Official announcement of discovery of 8630170⁵²⁴²⁸⁸ + 1, PrimeGrid

[73] Official announcement of discovery of 3×2^11895718−1, PrimeGrid

[74] Official announcement of discovery of 6339004⁵²⁴²⁸⁸ + 1, PrimeGrid

[75] Official announcement of discovery of 3×2^11731850 − 1, PrimeGrid

[76] Official announcement of discovery of 4896418⁵²⁴²⁸⁸ + 1, PrimeGrid

[77] Official announcement of discovery of 3×2^11484018 − 1, PrimeGrid

[78] Official announcement of discovery of 193997×2^11452891 + 1, PrimeGrid

[79] Official announcement of discovery of 3638450⁵²⁴²⁸⁸ + 1, PrimeGrid

[80] Official announcement of discovery of 9221×2^11392194 − 1, PrimeGrid

[81] Official announcement of discovery of 3214654⁵²⁴²⁸⁸ + 1, PrimeGrid

[82] Official announcement of discovery of 146561×2^11280802 − 1, PrimeGrid

[83] Official announcement of discovery of 2985036⁵²⁴²⁸⁸ + 1, PrimeGrid

[84] Official announcement of discovery of 2877652⁵²⁴²⁸⁸ + 1, PrimeGrid

[85] Official announcement of discovery of 2788032⁵²⁴²⁸⁸ + 1, PrimeGrid

[86] Official announcement of discovery of 2733014⁵²⁴²⁸⁸ + 1, PrimeGrid

[87] Official announcement of discovery of 2312092⁵²⁴²⁸⁸ + 1, PrimeGrid

[88] Official announcement of discovery of 2061748⁵²⁴²⁸⁸ + 1, PrimeGrid

[89] Official announcement of discovery of 1880370⁵²⁴²⁸⁸ + 1, PrimeGrid

[90] Official announcement of discovery of 3×2^10829346 + 1, PrimeGrid

[91] Official announcement of discovery of 475856⁵²⁴²⁸⁸ + 1, PrimeGrid

[92] Official announcement of discovery of 356926⁵²⁴²⁸⁸ + 1, PrimeGrid

[93] Official announcement of discovery of 341112⁵²⁴²⁸⁸ + 1, PrimeGrid

[94] Official announcement of discovery of 121×2^9584444 + 1, PrimeGrid

[95] Official announcement of discovery of 1323365×116^1323365 + 1, PrimeGrid

[96] Official announcement of discovery of 63838×5^3887851 − 1, PrimeGrid

[97] Official announcement of discovery of 273809×2^8932416 − 1, PrimeGrid

[98] Official announcement of discovery of 25×2^8788628 + 1, PrimeGrid

[GSRP-99] 1 2 3 "CRUS - Proven Conjectures". www.noprimeleftbehind.net.

[100] Official announcement of discovery of 17×2^8636199 + 1, PrimeGrid

[101] Official announcement of discovery of 75898⁵²⁴²⁸⁸ + 1, PrimeGrid

[102] Official announcement of discovery of 25×2^8456828 + 1, PrimeGrid

[103] Official announcement of discovery of 39×2^8413822 + 1, PrimeGrid

[104] Official announcement of discovery of 31×2^8348000 + 1, PrimeGrid

[105] Official announcement of discovery of 27×2^8342438 − 1, PrimeGrid

[106] Official announcement of discovery of 273662×5^3493296 + 1, PrimeGrid

[107] 102818×5^3440382 − 1, PrimeGrid

[108] Official announcement of discovery of 27×2^7963247 + 1, PrimeGrid

[109] Official announcement of discovery of 39×2^7946769 + 1, PrimeGrid

[110] Official announcement of discovery of 29×2^7899985 + 1, PrimeGrid

[111] Official announcement of discovery of 1341174×53^1341174 + 1, PrimeGrid

[112] Official announcement of discovery of 45×2^7661004 + 1, PrimeGrid

[113] Official announcement of discovery of 15×2^7619838 + 1, PrimeGrid

[114] Official announcement of discovery of 45×2^7513661 + 1, PrimeGrid

[115] Official announcement of discovery of 29×2^7374577 + 1, PrimeGrid

[116] 109838×5^3168862 − 1, PrimeGrid

[117] Official announcement of discovery of 29×2^7300254 + 1, PrimeGrid

[118] 118568×5^3112069 + 1, PrimeGrid

[119] Official announcement of discovery of 502573×2^7181987 − 1, PrimeGrid

[120] Official announcement of discovery of 402539×2^7173024 − 1, PrimeGrid

[121] Official announcement of discovery of 161041×2^7107964 + 1, PrimeGrid

[122] Official announcement of discovery of 27×2^7046834 + 1, PrimeGrid

[123] Official announcement of discovery of 3×2^7033641 + 1, PrimeGrid

[1stmegaprime-124] GIMPS press release, GIMPS Finds First Million-Digit Prime. Retrieved on 2008-01-04.

[125] 238694×5^2979422 − 1, PrimeGrid

[126] 146264×5^2953282 − 1, PrimeGrid

[127] 35816×5^2945294 − 1, PrimeGrid

[128] Official announcement of discovery of 19×2^6833086 + 1, PrimeGrid

[129] Official announcement of discovery of 40597×2^6808509 − 1, PrimeGrid

[130] Official announcement of discovery of 39×2^6684941 + 1, PrimeGrid

[131] Official announcement of discovery of 6679881×2^6679881 + 1, PrimeGrid

[132] Official announcement of discovery of 39×2^6648997 + 1, PrimeGrid

[PRPTop-133] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 Henri Lifchitz & Renaud Lifchitz, Probable Primes Top 10000, primenumbers.net

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Largest known primes

Largest known probable primes (PRPs)

See also

References

External links