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.

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 ${\displaystyle x^{2}+x+1}$.

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

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[111]	Number	Discovery date	Decimal digits
1	${\displaystyle {\tfrac {10^{8177207}-1}{9}}}$ [111]	8 May 2021	8,177,207
2	${\displaystyle {\tfrac {10^{5794777}-1}{9}}}$ [111]	20 April 2021	5,794,777
3	${\displaystyle {\tfrac {2^{15135397}+1}{3}}}$ [111]	June 2021	4,556,209
4	${\displaystyle {\tfrac {3^{8530117}-1}{2}}}$ [111]	November 2023	4,069,900
5	213380298 − 27 [111]	March 2021	4,027,872
6	${\displaystyle {\tfrac {2^{13372531}+1}{3}}}$ [111]	September 2013	4,025,533
7	${\displaystyle {\tfrac {2^{13347311}+1}{3}}}$ [111]	September 2013	4,017,941
8	${\displaystyle {\tfrac {2^{12720787}-1}{1666870069020922905132673131516413926009285199}}}$ [111]	3 July 2022	3,829,294
9	${\displaystyle {\tfrac {3^{7973131}-1}{2}}}$ [111]	November 2023	3,804,150
10	${\displaystyle {\tfrac {2^{12588091}-1}{32075464348897282169539424801}}}$ [111]	10 April 2023	3,789,365
11	${\displaystyle {\tfrac {2^{12503723}-2^{6251862}+1}{5}}}$ [111]	July 2020	3,763,995
12	${\displaystyle {\tfrac {5^{5154509}-1}{4}}}$ [111]	February 2024	3,602,847
13	${\displaystyle {\tfrac {5^{4939471}-1}{4}}}$ [111]	January 2024	3,452,542
14	${\displaystyle {\tfrac {3^{7034611}+1}{4}}}$ [111]	December 2024	3,356,362
15	${\displaystyle {\tfrac {2^{10443557}-1}{37289325994807}}}$ [111]	9 July 2020	3,143,811
16	29092392 + 40291 [111]	February 2011	2,737,083
17	${\displaystyle {\tfrac {14^{2307467}+1}{15}}}$ [111]	June 2025	2,644,652
18	${\displaystyle {\tfrac {6^{3360347}-1}{5}}}$ [111]	October 2023	2,614,858
19	F(11964299) [111]	28 June 2025	2,500,391
20	${\displaystyle {\tfrac {2^{8247949}-1}{45487316822291087700751210632267642069671672071}}}$ [111]	3 June 2024	2,482,834
21	${\displaystyle {\tfrac {17^{1990523}-1}{16}}}$ [111]	August 2020	2,449,236
22	${\displaystyle {\tfrac {35963^{524288}+1}{2}}}$ [111]	August 2022	2,388,581
23	50018654465 + 54465500186 [111]	August 2024	2,368,940
24	${\displaystyle {\tfrac {11^{2264611}+1}{12}}}$ [111]	July 2021	2,358,349
25	${\displaystyle {\tfrac {5^{3300593}-1}{4}}}$ [111]	February 2022	2,307,015
26	${\displaystyle {\tfrac {3^{4694803}+2^{4694803}}{5}}}$ [111]	December 2023	2,239,990
27	${\displaystyle {\tfrac {2^{7313983}-1}{305492080276193}}}$ [111]	1 March 2018	2,201,714
28	${\displaystyle {\tfrac {3^{4571447}+2^{4571447}}{5}}}$ [111]	December 2023	2,181,134
29	${\displaystyle {\tfrac {15^{1848811}+1}{16}}}$ [111]	July 2024	2,174,370
30	F(10367321) [111]	10 August 2024	2,166,642
31	${\displaystyle {\tfrac {15^{1841911}+1}{16}}}$ [111]	July 2024	2,166,255
32	34532794 + 45327943 [111]	October 2023	2,162,693
33	F(10317107) [111]	27 July 2024	2,156,148
34	${\displaystyle {\tfrac {2^{7080247}-1}{17045259548603283727480473638587228614426296913631}}}$ [111]	27 October 2017	2,131,318
35	360834356345 + 356345360834 [111]	February 2024	2,003,304
36	360339356572 + 356572360339 [111]	May 2024	2,000,656

• Largest known prime number

• 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