List of largest known primes and probable 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 ${\displaystyle \Phi _{3}(x)}$ is the third cyclotomic polynomial, defined as ${\displaystyle x^{2}+x+1}$.

More information , ...

Rank[1][2]	Number	Discovery date	Decimal digits
1	2136279841 − 1 [3]	12 October 2024	41,024,320
2	282589933 − 1 [4]	7 December 2018	24,862,048
3	277232917 − 1 [5]	26 December 2017	23,249,425
4	274207281 − 1 [6]	7 January 2016	22,338,618
5	257885161 − 1 [7]	25 January 2013	17,425,170
6	25241902097152 + 1 [8]	12 October 2025	13,426,224
7	243112609 − 1 [9]	23 August 2008	12,978,189
8	242643801 − 1 [10]	4 June 2009	12,837,064
9	${\displaystyle \Phi _{3}(-516693^{1048576})}$ [11]	2 October 2023	11,981,518
10	${\displaystyle \Phi _{3}(-465859^{1048576})}$ [12]	31 May 2023	11,887,192
11	237156667 − 1 [9]	6 September 2008	11,185,272
12	232582657 − 1 [13]	4 September 2006	9,808,358
13	10223×231172165 + 1 [14]	31 October 2016	9,383,761
14	230402457 − 1 [15]	15 December 2005	9,152,052
15	4×511786358 + 1	1 October 2024	8,238,312
16	225964951 − 1 [16]	18 February 2005	7,816,230
17	4052186×694052186 + 1 [17]	16 April 2025	7,451,366
18	69×224612729 − 1	13 August 2024	7,409,172
19	224036583 − 1 [18]	15 May 2004	7,235,733
20	53362841048576 + 1 [19]	31 October 2025	7,054,022
21	107347×223427517 − 1	4 August 2024	7,052,391
22	3×223157875 − 1 [20]	25 June 2025	6,971,216
23	38432361048576 + 1 [21]	17 December 2024	6,904,556
24	3×222103376 − 1 [22]	30 September 2024	6,653,780
25	19637361048576 + 1 [23]	24 September 2022	6,598,776
26	19517341048576 + 1 [24]	9 August 2022	6,595,985
27	202705×221320516 + 1 [25]	25 November 2021	6,418,121
28	220996011 − 1 [26]	17 November 2003	6,320,430
29	10590941048576 + 1 [27]	31 October 2018	6,317,602
30	3×220928756 − 1 [28]	5 July 2023	6,300,184
31	9194441048576 + 1 [29]	29 August 2017	6,253,210
32	81×220498148 + 1	13 June 2023	6,170,560
33	7×220267500 + 1	21 July 2022	6,101,127
34	4×58431178 + 1	2 January 2024	5,893,142
35	168451×219375200 + 1 [30]	17 September 2017	5,832,522
36	69×219374980 − 1	3 July 2022	5,832,452
37	3×218924888 − 1 [31]	24 March 2022	5,696,990
38	69×218831865 − 1	16 December 2021	5,668,959
39	2×311879700 + 1	22 June 2024	5,668,058
40	97139×218397548 − 1	23 April 2023	5,538,219
41	7×218233956 + 1	1 October 2020	5,488,969
42	3×218196595 − 1 [32]	8 January 2022	5,477,722
43	4×311279466 + 1	10 September 2024	5,381,674
44	3×217748034 − 1 [33]	6 September 2021	5,342,692
45	${\displaystyle \Phi _{3}(-123447^{524288})}$	23 February 2017	5,338,805
46	3622×57558139 − 1	18 February 2022	5,282,917
47	7×66772401 + 1	9 September 2019	5,269,954
48	2×310852677 + 1	8 January 2023	5,178,044
49	8508301×217016603 − 1 [34]	21 March 2018	5,122,515
50	8×105112848 − 1	30 January 2024	5,112,848
51	13×216828072 + 1	11 October 2023	5,065,756
52	3×216819291 − 1 [35]	20 January 2021	5,063,112
53	5287180×310574360 − 1	3 November 2024	5,045,259
54	3×216408818 + 1 [36]	25 October 2020	4,939,547
55	2329989×216309923 − 1	13 February 2024	4,909,783
56	69×215866556 + 1	20 August 2021	4,776,312
57	2036×310009192 + 1	15 February 2024	4,775,602
58	2525332×732525332 + 1 [37]	28 August 2021	4,705,888
59	1419499×215614489 + 1	9 February 2024	4,700,436
60	11×215502315 + 1	8 January 2023	4,666,663
61	(102332974 + 1)2 − 2	20 February 2024	4,665,949
62	37×215474010 + 1	8 November 2022	4,658,143
63	93839×215337656 − 1	28 November 2022	4,617,100
64	215317227+27658614 + 1	31 July 2020	4,610,945
65	13×215294536 + 1	30 September 2023	4,604,116
66	6×56546983 + 1	13 June 2020	4,576,146
67	4788920×39577840 − 1	14 February 2024	4,569,798
68	31×215145093 − 1	9 February 2025	4,559,129
69	69×214977631 − 1	3 December 2021	4,508,719
70	192971×214773498 − 1	7 March 2021	4,447,272
71	4×39214845 + 1	10 September 2024	4,396,600
72	9145334×39145334 + 1	25 December 2023	4,363,441
73	4×56181673 − 1	15 July 2022	4,320,805
74	396101×214259638 − 1	3 February 2024	4,292,585
75	6962×312863120 − 1	29 February 2020	4,269,952
76	37×214166940 + 1	24 June 2022	4,264,676
77	99739×214019102 + 1 [38]	24 December 2019	4,220,176
78	69×213832885 − 1	17 January 2022	4,164,116
79	9562633# + 1	25 June 2025	4,151,498
80	404849×213764867 + 1	10 March 2021	4,143,644
81	25×213719266 + 1	20 September 2022	4,129,912
82	81×213708272 + 1	11 October 2022	4,126,603
83	2740879×213704395 − 1	26 October 2019	4,125,441
84	479216×38625889 − 1	16 November 2019	4,115,601
85	13×213584543 − 1	30 May 2025	4,089,357
86	31×213514933 − 1	9 February 2025	4,068,402
87	${\displaystyle \Phi _{3}(-143332^{393216})}$	30 January 2017	4,055,114
88	81×213470584 + 1	9 October 2022	4,055,052
89	213466917 − 1 [39]	14 November 2001	4,053,946
90	5778486×55778486 + 1	15 August 2024	4,038,996
91	9×213334487 + 1	31 March 2020	4,014,082
92	206039×213104952 − 1	26 April 2021	3,944,989
93	2805222×55610444 + 1 [40]	2 September 2019	3,921,539
94	5128×222919993 + 1	5 December 2024	3,919,869
95	19249×213018586 + 1 [41]	26 March 2007	3,918,990
96	2293×212918431 − 1	13 February 2021	3,888,839
97	23865586524288 + 1 [42]	27 April 2026	3,868,078
98	23680116524288 + 1 [43]	17 April 2026	3,866,301
99	22970694524288 + 1 [44]	19 March 2026	3,859,376
100	81×212804541 + 1	19 September 2022	3,854,553
101	22444816524288 + 1 [45]	3 March 2026	3,854,102
102	22306708524288 + 1 [46]	28 February 2026	3,852,697
103	21826264524288 + 1 [47]	25 February 2026	3,847,739
104	67612×55501582 + 1 [48]	8 April 2025	3,845,446
105	20221496524288 + 1	22 January 2026	3,830,351
106	19981416524288 + 1 [49]	5 February 2026	3,827,631
107	19409636524288 + 1 [50]	14 January 2026	3,821,021
108	18703062524288 + 1 [51]	9 December 2025	3,812,577
109	18529322524288 + 1 [52]	30 November 2025	3,810,452
110	18099898524288 + 1	1 September 2025	3,805,113
111	17997078524288 + 1 [53]	20 November 2025	3,803,816
112	17544674524288 + 1 [54]	25 October 2025	3,798,019
113	17502532524288 + 1 [55]	23 October 2025	3,797,471
114	17445908524288 + 1 [56]	19 October 2025	3,796,734
115	17177670524288 + 1 [57]	5 October 2025	3,793,205
116	16211276524288 + 1 [58]	9 August 2025	3,780,021
117	15958750524288 + 1 [59]	15 July 2025	3,776,446
118	15852200524288 + 1 [60]	8 July 2025	3,774,921
119	751882!/751879# + 1	7 December 2025	3,765,621
120	4×55380542 + 1	22 February 2023	3,760,839
121	13520762524288 + 1 [61]	25 February 2025	3,738,699
122	13427472524288 + 1 [62]	3 March 2025	3,737,122
123	9×212406887 + 1	29 March 2020	3,734,847
124	12900356524288 + 1 [63]	22 January 2025	3,728,004
125	12693488524288 + 1 [64]	6 January 2025	3,724,323
126	11937916524288 + 1 [65]	5 October 2024	3,710,349
127	7×212286041 − 1	10 June 2023	3,698,468
128	10913140524288 + 1 [66]	19 June 2024	3,689,913
129	69×212231580 − 1	27 July 2021	3,682,075
130	27×212184319 + 1	6 February 2021	3,667,847
131	9332124524288 + 1 [67]	22 June 2024	3,654,278
132	8630170524288 + 1 [68]	13 April 2024	3,636,472
133	863282×55179692 − 1	17 October 2024	3,620,456
134	670490×123352450 − 1	17 October 2024	3,617,907
135	4×37578378 + 1	9 September 2024	3,615,806
136	11×211993994 − 1	15 August 2024	3,610,554
137	3761×211978874 − 1	6 July 2022	3,606,004
138	95×211954552 − 1	28 May 2024	3,598,681
139	259072×55136295 − 1	28 October 2024	3,590,122
140	3×211895718 − 1 [69]	23 June 2015	3,580,969
141	37×211855148 + 1	30 May 2022	3,568,757
142	6339004524288 + 1 [70]	8 June 2023	3,566,218
143	763795×64582771 + 1	11 December 2023	3,566,095
144	5897794524288 + 1 [41]	18 December 2022	3,549,792
145	3×211731850 − 1 [71]	13 March 2015	3,531,640
146	69×211718455 − 1 [41]	4 December 2020	3,527,609
147	21×211715899 − 1	4 February 2026	3,526,839
148	8629×211708579 − 1	19 September 2024	3,524,638
149	41×211676439 + 1 [41]	20 June 2022	3,514,960
150	4896418524288 + 1 [72]	15 May 2022	3,507,424
151	81×211616017 + 1 [41]	30 August 2022	3,496,772
152	69×211604348 − 1 [41]	4 December 2020	3,493,259
153	4450871×64450871 + 1 [41]	17 September 2023	3,463,458
154	9×211500843 + 1 [41]	13 March 2020	3,462,100
155	3×211484018 − 1 [73]	22 November 2014	3,457,035
156	193997×211452891 + 1 [74]	3 April 2018	3,447,670
157	29914×54930904 + 1	27 September 2024	3,446,559
158	3638450524288 + 1 [75]	29 May 2020	3,439,810
159	9221×211392194 − 1 [76]	7 February 2021	3,429,397
160	9×211366286 + 1	26 March 2020	3,421,594
161	${\displaystyle \Phi _{3}(-3328218^{262144})}$	29 December 2025	3,419,518
162	5×211355764 − 1	2 October 2021	3,418,427
163	732050×64392301 + 1	9 September 2023	3,417,881
164	${\displaystyle \Phi _{3}(-3268739^{262144})}$	10 November 2025	3,415,412
165	3214654524288 + 1 [77]	24 December 2019	3,411,613
166	632760! − 1	20 October 2024	3,395,992
167	146561×211280802 − 1 [78]	16 November 2020	3,395,865
168	51208×54857576 + 1	6 June 2024	3,395,305
169	2985036524288 + 1 [79]	18 September 2019	3,394,739
170	4591×211270837 − 1	2 January 2025	3,392,864
171	6929×211255424 − 1	7 July 2022	3,388,225
172	2877652524288 + 1 [80]	29 June 2019	3,386,397
173	2788032524288 + 1 [81]	17 April 2019	3,379,193
174	2733014524288 + 1 [82]	18 March 2019	3,374,655
175	${\displaystyle \Phi _{3}(-2637072^{262144})}$	4 December 2025	3,366,518
176	9×211158963 + 1	13 March 2020	3,359,184
177	9271×211134335 − 1	17 January 2021	3,351,773
178	136804×54777253 − 1	1 March 2024	3,339,162
179	2312092524288 + 1 [83]	4 August 2018	3,336,572
180	987324×481974648 − 1	12 October 2024	3,319,866
181	2061748524288 + 1 [84]	20 March 2018	3,310,478
182	1880370524288 + 1 [85]	15 January 2018	3,289,511
183	27×210902757 − 1	7 March 2022	3,282,059
184	3×210829346 + 1 [86]	14 January 2014	3,259,959
185	11×210803449 + 1	29 May 2022	3,252,164
186	11×210797109 + 1	29 May 2022	3,250,255
187	7×210612737 − 1	19 May 2022	3,194,154
188	7351117# + 1	14 September 2024	3,191,401
189	37×210599476 + 1	17 June 2022	3,190,762
190	5×210495620 − 1	26 September 2021	3,159,498
191	${\displaystyle {\tfrac {\Phi _{3}(-3^{3304302}+1)}{3}}}$	30 June 2023	3,153,105
192	5×210349000 − 1	26 September 2021	3,115,361
193	${\displaystyle \Phi _{3}(-844833^{262144})}$	17 January 2017	3,107,335
194	17×210248660 − 1	8 August 2025	3,085,156
195	52922×54399812 − 1	3 August 2023	3,075,342
196	${\displaystyle \Phi _{3}(-712012^{262144})}$	14 January 2017	3,068,389
197	177742×54386703 − 1	24 July 2023	3,066,180
198	4×36402015 + 1	9 September 2024	3,054,539
199	874208×541748416 − 1	26 September 2019	3,028,951
200	475856524288 + 1 [87]	8 August 2012	2,976,633
201	2×36236772 + 1	20 December 2022	2,975,697
202	15×39830108 + 1	19 August 2023	2,959,159
203	9×29778263 + 1	5 August 2020	2,943,552
204	198×5581061348 + 1	30 August 2024	2,915,138
205	1806676×411806676 + 1	11 March 2018	2,913,785
206	356926524288 + 1 [88]	20 June 2012	2,911,151
207	341112524288 + 1 [89]	15 June 2012	2,900,832
208	213988×54138363 − 1	29 November 2022	2,892,597
209	43×29596983 − 1	28 February 2022	2,888,982
210	121×29584444 + 1 [90]	18 November 2020	2,885,208
211	15×29482269 − 1	14 August 2024	2,854,449
212	6533299# − 1	18 August 2024	2,835,864
213	11×29381365 + 1	7 March 2020	2,824,074
214	15×29312889 + 1	7 August 2023	2,803,461
215	97×29305542 + 1	10 May 2025	2,801,250
216	93×29235048 + 1	7 May 2025	2,780,029
217	49×29187790 + 1	11 September 2022	2,765,803
218	6369619# + 1	12 August 2024	2,765,105
219	27653×29167433 + 1 [41]	8 June 2005	2,759,677
220	6354977# − 1	12 August 2024	2,758,832
221	90527×29162167 + 1	30 June 2010	2,758,093
222	6795×29144320 − 1	31 March 2021	2,752,719
223	31×29088085 − 1	27 August 2024	2,735,788
224	75×29079482 + 1	25 July 2023	2,733,199
225	1323365×1161323365 + 1 [91]	18 January 2018	2,732,038
226	57×29075622 − 1	7 August 2022	2,732,037
227	102718281 − 5×101631138 − 5×101087142 − 1	6 August 2024	2,718,281
228	63838×53887851 − 1 [92]	19 June 2022	2,717,497
229	13×28989858 + 1	10 March 2020	2,706,219
230	271357×28943013 − 1	13 October 2025	2,692,121
231	4159×28938471 − 1	19 April 2022	2,690,752
232	273809×28932416 − 1 [93]	13 December 2017	2,688,931
233	93×28898285 + 1	4 March 2024	2,678,653
234	2×35570081 + 1	14 February 2020	2,657,605
235	25×28788628 + 1 [94]	1 March 2021	2,645,643
236	2038×3661028507 − 1 [95]	4 April 2016	2,636,562
237	64598×53769854 − 1	14 June 2022	2,635,020
238	63×28741225 + 1	6 May 2024	2,631,373
239	8×785900325 + 1	4 June 2022	2,606,325
240	17×28636199 + 1 [96]	17 February 2021	2,599,757
241	75898524288 + 1 [97]	19 November 2011	2,558,647
242	25×28456828 + 1 [98]	27 January 2021	2,545,761
243	39×28413422 + 1 [99]	23 January 2021	2,532,694
244	31×28348000 + 1 [100]	19 January 2021	2,513,000
245	27×28342438 − 1 [101]	1 February 2021	2,511,326
246	17×28330892 − 1	16 July 2025	2,507,850
247	3867×28261084 − 1	14 April 2021	2,486,838
248	101×28152967 + 1	2 December 2023	2,454,290
249	9×28128075 − 1	8 July 2025	2,446,796
250	273662×53493296 − 1 [102]	7 December 2021	2,441,715
251	81×28109236 + 1	9 September 2022	2,441,126
252	11×28103463 + 1	6 March 2020	2,439,387
253	102818×53440382 − 1 [103]	8 October 2021	2,404,729
254	9×27979119 − 1	8 July 2025	2,401,956
255	11×27971110 − 1	25 November 2019	2,399,545
256	27×27963247 + 1 [104]	14 January 2021	2,397,178
257	3177×27954621 − 1	13 June 2021	2,394,584
258	39×27946769 + 1 [105]	14 January 2021	2,392,218
259	7×63072198 + 1	4 August 2019	2,390,636
260	3765×27904593 − 1	10 January 2021	2,379,524
261	29×27899985 + 1 [106]	14 January 2021	2,378,134
262	5113×27895471 − 1	27 November 2022	2,376,778
263	861×27895451 − 1	21 February 2021	2,376,771
264	75×27886683 + 1	4 September 2023	2,374,131
265	3243959×27862047 + 1	3 December 2025	2,366,719
266	2661×27861390 − 1	28 December 2024	2,366,518
267	21×27838882 − 1	15 August 2025	2,359,740
268	30397×27838120 + 1	17 August 2025	2,359,514
269	99×27830910 + 1	24 April 2024	2,357,341
270	28433×27830457 + 1 [41]	31 December 2004	2,357,207
271	2589×27803339 − 1	21 August 2022	2,349,043
272	59×27792307 + 1	24 April 2024	2,345,720
273	101×27784453 + 1	24 April 2024	2,343,356
274	95×27778585 + 1	24 April 2024	2,341,590
275	8401×27767655 − 1	24 April 2023	2,338,302
276	9693×27767343 − 1	17 November 2023	2,338,208
277	1581658×301581658 + 1	17 April 2026	2,336,307
278	5×27755002 − 1	23 September 2021	2,334,489
279	2945×27753232 − 1	27 November 2022	2,333,959
280	2×836798431 + 1	10 September 2024	2,333,181
281	63×27743186 + 1	24 April 2024	2,330,934
282	2545×27732265 − 1	13 January 2021	2,327,648
283	5539×27730709 − 1	15 January 2021	2,327,180
284	4817×27719584 − 1	13 June 2021	2,323,831
285	183×558842752 + 1	23 August 2024	2,314,734
286	1341174×531341174 + 1 [107]	21 August 2017	2,312,561
287	9467×27680034 − 1	20 February 2022	2,311,925
288	45×27661004 + 1 [108]	13 December 2020	2,306,194
289	15×27619838 + 1 [109]	6 December 2020	2,293,801
290	3645×27610003 − 1	28 August 2025	2,290,843
291	3597×27580693 − 1	10 January 2021	2,282,020
292	5256037# + 1	6 August 2024	2,281,955
293	38118498221×27552807 + 1	7 October 2025	2,273,633
294	3129×27545557 − 1	14 March 2023	2,271,443
295	7401×27523295 − 1	21 February 2021	2,264,742
296	45×27513661 + 1 [110]	12 November 2020	2,261,839
297	${\displaystyle \Phi _{3}(-558640^{196608})}$	11 January 2017	2,259,865
298	2739×27483537 − 1	1 May 2025	2,252,773
299	9×27479919 − 1	3 June 2023	2,251,681
300	1875×27474308 − 1	21 August 2022	2,249,995
301	69×27452023 + 1	23 March 2023	2,243,285
302	1281879×27447178 + 1	27 December 2023	2,241,831
303	9107×27417464 − 1	3 May 2025	2,232,884
304	4×53189669 − 1	12 July 2022	2,229,484
305	19×27383785 − 1	11 July 2025	2,222,743
306	29×27374577 + 1 [111]	27 October 2020	2,219,971
307	2653×27368343 − 1	18 September 2024	2,218,096
308	21555×27364128 − 1	4 September 2024	2,216,828
309	3197×27359542 − 1	27 November 2022	2,215,447
310	109838×53168862 − 1 [112]	13 August 2020	2,214,945
311	95×27354869 + 1	25 September 2023	2,214,039
312	101×27345194 − 1	5 October 2019	2,211,126
313	85×27333444 + 1	25 September 2023	2,207,589
314	15×27300254 + 1 [113]	25 October 2020	2,197,597
315	6733×27285527 − 1	26 October 2025	2,193,166
316	422429! + 1	21 February 2022	2,193,027
317	1759×27284439 − 1	28 August 2021	2,192,838
318	1909683×141909683 + 1	27 May 2023	2,188,748
319	737×27269322 − 1	10 August 2017	2,188,287
320	6909×27258896 − 1	18 September 2024	2,185,150
321	93×27241494 + 1	25 September 2023	2,179,909
322	118568×53112069 + 1 [114]	1 May 2020	2,175,248
323	4215×27221386 − 1	27 December 2024	2,173,858
324	40×257901632 + 1	11 September 2024	2,172,875
325	1685×27213108 − 1	13 April 2025	2,171,366
326	580633×27208783 − 1	15 February 2024	2,170,066
327	6039×27207973 − 1	24 March 2021	2,169,820
328	1871×27207954 − 1	26 September 2025	2,169,814
329	502573×27181987 − 1 [115]	4 October 2014	2,162,000
330	1503×27175467 − 1	2 May 2026	2,160,034
331	402539×27173024 − 1 [116]	2 October 2014	2,159,301
332	3343×27166019 − 1	29 September 2016	2,157,191
333	4137×27132569 − 1	11 April 2025	2,147,121
334	161041×27107964 + 1 [117]	6 January 2015	2,139,716
335	294×213918952 − 1	19 September 2023	2,139,672
336	17×27101254 − 1	11 July 2025	2,137,692
337	27×27046834 + 1 [118]	11 October 2018	2,121,310
338	1759×27046791 − 1	28 August 2021	2,121,299
339	327×27044001 − 1	13 January 2021	2,120,459
340	5×27037188 − 1	22 September 2021	2,118,406
341	3×27033641 + 1 [119]	21 February 2011	2,117,338
342	625783×27031319 − 1	10 February 2024	2,116,644
343	33661×27031232 + 1 [41]	30 October 2007	2,116,617
344	${\displaystyle \Phi _{3}(-237804^{196608})}$	6 January 2017	2,114,016
345	207494×53017502 − 1	16 March 2020	2,109,149
346	15×26993631 − 1	25 August 2021	2,105,294
347	8943501×26972593 − 1	8 January 2022	2,098,967
348	6020095×26972593 − 1	4 September 2022	2,098,967
349	26972593 − 1 [120]	1 June 1999	2,098,960
350	100206278262144 + 1	26 January 2026	2,097,387
351	100013182262144 + 1	26 January 2026	2,097,168
352	273×26963847 − 1	16 November 2022	2,096,330
353	6219×26958945 − 1	7 January 2021	2,094,855
354	51×26945567 + 1	26 May 2020	2,090,826
355	8×102084563 − 1	1 June 2025	2,084,564
356	89239070262144 + 1	27 April 2026	2,084,191
357	3323×26921196 − 1	18 September 2024	2,083,492
358	88088376262144 + 1	8 April 2026	2,082,713
359	238694×52979422 − 1 [121]	12 March 2020	2,082,532
360	87887018262144 + 1	6 April 2026	2,082,453
361	87801308262144 + 1	4 April 2026	2,082,342
362	87124982262144 + 1	26 March 2026	2,081,461
363	86369496262144 + 1	18 March 2026	2,080,470
364	4×721119849 − 1 [95]	7 September 2016	2,079,933
365	84561734262144 + 1	7 March 2026	2,078,062
366	129×26900230 + 1	5 June 2025	2,077,179
367	83479504262144 + 1	2 March 2026	2,076,595
368	83211382262144 + 1	27 February 2026	2,076,229
369	33×26894190 − 1	27 July 2021	2,075,360
370	82060924262144 + 1	20 February 2026	2,074,644
371	4778027# − 1	31 July 2024	2,073,926
372	105×26884697 + 1	2 June 2025	2,072,503
373	80514060262144 + 1	10 February 2026	2,072,477
374	2345×26882320 − 1	13 April 2022	2,071,789
375	79523718262144 + 1	5 February 2026	2,071,068
376	77784266262144 + 1	20 January 2026	2,068,550
377	77708974262144 + 1	19 January 2026	2,068,440
378	77662142262144 + 1	18 January 2026	2,068,372
379	77586084262144 + 1	17 January 2026	2,068,260
380	77412518262144 + 1	14 January 2026	2,068,005
381	76013952262144 + 1	25 December 2025	2,065,929
382	75810636262144 + 1	20 December 2025	2,065,624
383	75753274262144 + 1	20 December 2025	2,065,538
384	57×26857990 + 1	17 August 2023	2,064,463
385	146264×52953282 − 1 [122]	9 March 2020	2,064,261
386	74732694262144 + 1	10 December 2025	2,063,994
387	74716572262144 + 1	10 December 2025	2,063,970
388	74399970262144 + 1	5 December 2025	2,063,486
389	74336726262144 + 1	4 December 2025	2,063,389
390	73597220262144 + 1	25 November 2025	2,062,251
391	73589294262144 + 1	24 November 2025	2,062,239
392	73465436262144 + 1	21 November 2025	2,062,047
393	73116844262144 + 1	13 November 2025	2,061,505
394	72862906262144 + 1	9 November 2025	2,061,109
395	72752758262144 + 1	4 November 2025	2,060,937
396	72718062262144 + 1	4 November 2025	2,060,883
397	72071732262144 + 1	22 October 2025	2,059,866
398	71737620262144 + 1	18 October 2025	2,059,337
399	71380700262144 + 1	13 October 2025	2,058,770
400	69×26838971 − 1	1 March 2020	2,058,738
401	35816×52945294 − 1 [123]	5 March 2020	2,058,677
402	71107798262144 + 1	11 October 2025	2,058,333
403	127×26836153 − 1	25 June 2018	2,057,890
404	105×26835099 + 1	26 May 2025	2,057,572
405	70520422262144 + 1	29 September 2025	2,057,389
406	70349734262144 + 1	27 September 2025	2,057,113
407	19×26833086 + 1 [124]	24 October 2020	2,056,966
408	69844790262144 + 1	22 September 2025	2,056,293
409	69810332262144 + 1	22 September 2025	2,056,237
410	69290228262144 + 1	20 September 2025	2,055,386
411	69170386262144 + 1	13 September 2025	2,055,189
412	68717884262144 + 1	30 August 2025	2,054,441
413	68000464262144 + 1	10 August 2025	2,053,246
414	67886950262144 + 1	9 August 2025	2,053,056
415	67673558262144 + 1	5 August 2025	2,052,698
416	67535128262144 + 1	2 August 2025	2,052,465
417	67433562262144 + 1	2 August 2025	2,052,293
418	67167678262144 + 1	24 July 2025	2,051,844
419	67141518262144 + 1	24 July 2025	2,051,799
420	67062340262144 + 1	22 July 2025	2,051,665
421	66498472262144 + 1	8 July 2025	2,050,704
422	66342922262144 + 1	4 July 2025	2,050,437
423	66266188262144 + 1	3 July 2025	2,050,305
424	65×26810465 + 1	22 September 2023	2,050,157
425	40597×26808509 − 1 [125]	25 December 2013	2,049,571
426	283×26804701 − 1	19 January 2020	2,048,431
427	65136498262144 + 1	20 June 2025	2,048,348
428	64989720262144 + 1	18 June 2025	2,048,091
429	64074894262144 + 1	30 May 2025	2,046,447
430	64010198262144 + 1	30 May 2025	2,046,362
431	63833640262144 + 1	27 May 2025	2,046,047
432	8×102045966 − 1	31 May 2025	2,045,967
433	63784742262144 + 1	26 May 2025	2,045,960
434	63558122262144 + 1	27 May 2025	2,045,555
435	63448958262144 + 1	22 May 2025	2,045,359
436	63286690262144 + 1	19 May 2025	2,045,068
437	62767176262144 + 1	9 May 2025	2,044,129
438	62747994262144 + 1	9 May 2025	2,044,095
439	1861209×26789999 + 1	2 December 2020	2,044,000
440	5817×26789459 − 1	9 January 2021	2,043,835
441	62311952262144 + 1	3 May 2025	2,043,301
442	62199610262144 + 1	5 May 2025	2,043,095
443	62152830262144 + 1	1 May 2025	2,043,010
444	62136706262144 + 1	2 May 2025	2,042,980
445	8435×26786180 − 1	7 January 2021	2,042,848
446	61238184262144 + 1	21 April 2025	2,041,322
447	119×26777781 + 1	18 May 2025	2,040,318
448	59145944262144 + 1	29 March 2025	2,037,364
449	58936230262144 + 1	28 March 2025	2,036,960
450	58870004262144 + 1	28 March 2025	2,036,832
451	58846688262144 + 1	28 March 2025	2,036,787
452	58333324262144 + 1	28 March 2025	2,035,789
453	58288282262144 + 1	28 March 2025	2,035,701
454	57643582262144 + 1	28 March 2025	2,034,435
455	57594478262144 + 1	28 March 2025	2,034,338
456	57478518262144 + 1	28 March 2025	2,034,108
457	57429230262144 + 1	27 March 2025	2,034,111
458	51×26753404 + 1	26 May 2020	2,032,979
459	93×26750726 + 1	18 September 2023	2,032,173
460	56303352262144 + 1	27 March 2025	2,031,757
461	56295176262144 + 1	26 March 2025	2,031,740
462	55952434262144 + 1	26 March 2025	2,031,045
463	55892864262144 + 1	27 March 2025	2,030,920
464	69×26745775 + 1	21 March 2023	2,030,683
465	55702322262144 + 1	27 March 2025	2,030,535
466	55695224262144 + 1	25 March 2025	2,030,520
467	55169618262144 + 1	25 March 2025	2,029,441
468	55007338262144 + 1	25 March 2025	2,029,105
469	54852328262144 + 1	25 March 2025	2,028,784
470	54528918262144 + 1	26 March 2025	2,028,111
471	54044092262144 + 1	24 March 2025	2,027,094
472	53903472262144 + 1	24 March 2025	2,026,797
473	53750036262144 + 1	24 March 2025	2,026,473
474	53616962262144 + 1	28 March 2025	2,026,191
475	53311612262144 + 1	24 March 2025	2,025,540
476	4681×26728157 − 1	25 August 2025	2,025,381
477	53008094262144 + 1	23 March 2025	2,024,890
478	52648144262144 + 1	21 March 2025	2,024,115
479	52599274262144 + 1	20 March 2025	2,024,009
480	52592976262144 + 1	21 March 2025	2,023,995
481	117×26719464 + 1	10 May 2025	2,022,763
482	51992174262144 + 1	16 March 2025	2,022,687
483	51852794262144 + 1	14 March 2025	2,022,382
484	51714136262144 + 1	13 March 2025	2,022,077
485	51283286262144 + 1	9 March 2025	2,021,124
486	51125138262144 + 1	7 March 2025	2,020,773
487	9995×26711008 − 1	31 December 2020	2,020,219
488	50454356262144 + 1	1 March 2025	2,019,269
489	50449664262144 + 1	28 February 2025	2,019,259
490	50366208262144 + 1	28 February 2025	2,019,070
491	50121532262144 + 1	27 February 2025	2,018,516
492	49536902262144 + 1	25 February 2025	2,017,180
493	49235348262144 + 1	23 February 2025	2,016,485
494	49209090262144 + 1	23 February 2025	2,016,424
495	48055302262144 + 1	18 February 2025	2,013,723
496	47707672262144 + 1	16 February 2025	2,012,896
497	39×26684941 + 1 [126]	20 October 2020	2,012,370
498	47351862262144 + 1	15 February 2025	2,012,044
499	47281922262144 + 1	13 February 2025	2,011,876
500	47255958262144 + 1	13 February 2025	2,011,813
501	6679881×26679881 + 1 [127]	25 July 2009	2,010,852
502	46831458262144 + 1	11 February 2025	2,010,786
503	46378776262144 + 1	8 February 2025	2,009,680
504	45073202262144 + 1	21 January 2025	2,006,469
505	45007104262144 + 1	19 January 2025	2,006,202
506	44819108262144 + 1	14 January 2025	2,005,786
507	44666524262144 + 1	12 January 2025	2,005,397
508	37×26660841 − 1 [95]	30 July 2014	2,005,115
509	44144624262144 + 1	29 December 2024	2,004,059
510	44030166262144 + 1	30 December 2024	2,003,764
511	43330794262144 + 1	3 December 2024	2,001,941
512	39×26648997 + 1 [128]	20 October 2020	2,001,550
513	42781592262144 + 1	18 November 2024	2,000,489
514	102000007 − 101127194 − 10872812 − 1	12 January 2024	2,000,007
515	102000005 − 101051046 − 10948958 − 1	6 January 2024	2,000,005

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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.

More information , ...

Rank[129]	Number	Discovery date	Decimal digits
1	${\displaystyle {\tfrac {10^{8177207}-1}{9}}}$ [129]	8 May 2021	8,177,207
2	${\displaystyle {\tfrac {10^{5794777}-1}{9}}}$ [129]	19 April 2021	5,794,777
3	${\displaystyle {\tfrac {2^{15135397}+1}{3}}}$ [129]	June 2021	4,556,209
4	${\displaystyle {\tfrac {3^{8530117}-1}{2}}}$ [129]	November 2023	4,069,900
5	213380298 − 27 [129]	March 2021	4,027,872
6	${\displaystyle {\tfrac {2^{13372531}+1}{3}}}$ [129]	September 2013	4,025,533
7	${\displaystyle {\tfrac {2^{13347311}+1}{3}}}$ [129]	September 2013	4,017,941
8	${\displaystyle {\tfrac {2^{12720787}-1}{1666870069020922905132673131516413926009285199}}}$ [129]	3 July 2022	3,829,294
9	${\displaystyle {\tfrac {3^{7973131}-1}{2}}}$ [129]	November 2023	3,804,150
10	${\displaystyle {\tfrac {2^{12588091}-1}{32075464348897282169539424801}}}$ [129]	10 April 2023	3,789,365
11	${\displaystyle {\tfrac {2^{12503723}-2^{6251862}+1}{5}}}$ [129]	July 2020	3,763,995
12	${\displaystyle {\tfrac {5^{5154509}-1}{4}}}$ [129]	February 2024	3,602,847
13	${\displaystyle {\tfrac {5^{4939471}-1}{4}}}$ [129]	January 2024	3,452,542
14	${\displaystyle {\tfrac {3^{7034611}+1}{4}}}$ [129]	December 2024	3,356,362
15	${\displaystyle {\tfrac {6^{4120873}+7}{2}}}$ [129]	April 2026	3,206,662
16	${\displaystyle {\tfrac {2^{10443557}-1}{37289325994807}}}$ [129]	9 July 2020	3,143,811
17	${\displaystyle {\tfrac {7^{3417779}+1}{8}}}$ [129]	November 2025	2,888,358
18	29092392 + 40291 [129]	February 2011	2,737,083
19	${\displaystyle {\tfrac {14^{2307467}+1}{15}}}$ [129]	June 2025	2,644,652
20	${\displaystyle {\tfrac {6^{3360347}-1}{5}}}$ [129]	October 2023	2,614,858
21	${\displaystyle {\tfrac {9^{2698541}+1}{10}}}$ [129]	February 2026	2,575,062
22	F(11964299) [129]	28 June 2025	2,500,391
23	${\displaystyle {\tfrac {2^{8247949}-1}{45487316822291087700751210632267642069671672071}}}$ [129]	3 June 2024	2,482,834
24	${\displaystyle {\tfrac {17^{1990523}-1}{16}}}$ [129]	August 2020	2,449,236
25	${\displaystyle {\tfrac {35963^{524288}+1}{2}}}$ [129]	August 2022	2,388,581
26	50018654465 + 54465500186 [129]	August 2024	2,368,940
27	${\displaystyle {\tfrac {11^{2264611}+1}{12}}}$ [129]	July 2021	2,358,349
28	${\displaystyle {\tfrac {5^{3300593}-1}{4}}}$ [129]	February 2022	2,307,015
29	${\displaystyle {\tfrac {3^{4694803}+2^{4694803}}{5}}}$ [129]	December 2023	2,239,990
30	${\displaystyle {\tfrac {2^{7313983}-1}{305492080276193}}}$ [129]	1 March 2018	2,201,714
31	${\displaystyle {\tfrac {3^{4571447}+2^{4571447}}{5}}}$ [129]	December 2023	2,181,134
32	${\displaystyle {\tfrac {15^{1848811}+1}{16}}}$ [129]	July 2024	2,174,370
33	F(10367321) [129]	10 August 2024	2,166,642
34	${\displaystyle {\tfrac {15^{1841911}+1}{16}}}$ [129]	July 2024	2,166,255
35	34532794 + 45327943 [129]	October 2023	2,162,693
36	F(10317107) [129]	27 July 2024	2,156,148
37	${\displaystyle {\tfrac {2^{7080247}-1}{17045259548603283727480473638587228614426296913631}}}$ [129]	27 October 2017	2,131,318
38	360834356345 + 356345360834 [129]	February 2024	2,003,304
39	360339356572 + 356572360339 [129]	May 2024	2,000,656

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• Largest known prime number