| Rank |
Probable prime |
Digits (> 50000) |
Who ? |
When ? |
| 251 | (44^418423-1)/43 | 687657 | Paul Bourdelais | 08/2026 |
| 252 | (10^685224+89)/9 | 685224 | Serge Batalov | 12/2014 |
| 253 | 2^2273911+247733 | 684516 | Enzo Doria | 07/2026 |
| 254 | (65^375017-1)/64 | 679872 | Paul Bourdelais | 10/2023 |
| 255 | (70^368293-1)/69 | 679535 | Paul Bourdelais | 08/2026 |
| 256 | F(3244369) | 678033 | Henri Lifchitz | 09/2017 |
| 257 | (43^414971+1)/44 | 677841 | Paul Bourdelais | 08/2026 |
| 258 | 2^2249255+28433 | 677094 | Ben Maloney / Five or Bust | 01/2009 |
| 259 | (10^675470+269)/9 | 675470 | Serge Batalov | 12/2014 |
| 260 | (2*10^672745-17)/3 | 672745 | Rytis Slatkevicius | 09/2024 |
| 261 | Tau(151^56086) | 672156 | Nik Lygeros / Olivier Rozier / LR team | 10/2017 |
| 262 | (79^354091-1)/78 | 671931 | Paul Bourdelais | 08/2026 |
| 263 | (9^703393+1)/10 | 671207 | Paul Bourdelais | 08/2015 |
| 264 | (121^320483+1)/122 | 667496 | Paul Bourdelais | 08/2019 |
| 265 | (10^666903-7)/3 | 666903 | Rytis Slatkevicius | 01/2023 |
| 266 | 2^2213586+71389 | 666356 | Enzo Doria | 04/2018 |
| 267 | 2^2212113+56357 | 665913 | Enzo Doria | 05/2026 |
| 268 | (9614^167281-1)/(9614^409-1) | 664636 | Ryan Propper | 11/2023 |
| 269 | 2^2205444+3 | 663905 | Paul Bourdelais | 08/2020 |
| 270 | 2^2197581+56507 | 661538 | Enzo Doria | 04/2026 |
| 271 | (41*13^592198+27)/4 | 659677 | Eric Chen | 11/2023 |
| 272 | 2^2191232+105 | 659627 | Stefano Morozzi | 10/2021 |
| 273 | 2^2187054+1886719 | 658369 | Enzo Doria | 11/2018 |
| 274 | (77^348559-1)/76 | 657552 | Paul Bourdelais | 08/2026 |
| 275 | 2^2181033+55847 | 656557 | Enzo Doria | 04/2026 |
| 276 | 2^2176523+58403 | 655199 | Enzo Doria | 08/2026 |
| 277 | (6^840316-11)/5 | 653893 | Paul Bourdelais | 06/2020 |
| 278 | 2^2167732+245581 | 652553 | Enzo Doria | 02/2026 |
| 279 | 2^2160082+39973 | 650250 | Stefano Morozzi | 07/2024 |
| 280 | 2^2160074+41857 | 650248 | Stefano Morozzi | 06/2024 |
| 281 | 2^2160054+24817 | 650242 | Stefano Morozzi | 06/2024 |
| 282 | 2^2160018+24099 | 650231 | Stefano Morozzi | 09/2024 |
| 283 | (15^551927+1)/16 | 649116 | Paul Bourdelais | 07/2013 |
| 284 | 2^2153756+72181 | 648346 | Enzo Doria | 04/2018 |
| 285 | (3^1353449-3^676725+1)/7 | 645759 | Serge Batalov | 03/2014 |
| 286 | 2^2132255+2449913 | 641873 | Enzo Doria | 03/2026 |
| 287 | Tau(983^38932) | 640784 | Nik Lygeros / Olivier Rozier | 02/2016 |
| 288 | 2^2119239+684443 | 637955 | Enzo Doria | 11/2018 |
| 289 | 2^2117699+89 | 637491 | Stefano Morozzi | 10/2021 |
| 290 | (5*10^636570+31)/9 | 636570 | Rytis Slatkevicius | 02/2023 |
| 291 | 2^2114495+20753 | 636527 | Enzo Doria | 08/2023 |
| 292 | 2^2110918+57469 | 635450 | Enzo Doria | 08/2026 |
| 293 | 2^2107382+105 | 634386 | Stefano Morozzi | 10/2021 |
| 294 | (51*21^479149-1243)/4 | 633542 | Curtis Bright | 11/2015 |
| 295 | 2^2100043-98607 | 632176 | Stefano Morozzi | 06/2026 |
| 296 | 2^2100018-171111 | 632169 | Stefano Morozzi | 04/2026 |
| 297 | 2^2100009-163329 | 632166 | Stefano Morozzi | 04/2026 |
| 298 | 2^2100002-179111 | 632164 | Stefano Morozzi | 04/2026 |
| 299 | 2^2099459+71663 | 632001 | Enzo Doria | 07/2018 |
| 300 | (10^631715+53)/9 | 631715 | Rytis Slatkevicius | 01/2023 |
| 301 | Tau(881^38992) | 631568 | Nik Lygeros / Olivier Rozier | 01/2016 |
| 302 | 2^2097791+60563 | 631499 | Enzo Doria | 04/2018 |
| 303 | 2^2093365+242717 | 630166 | Enzo Doria | 12/2025 |
| 304 | 2^2086750-3 | 628175 | Paul Bourdelais | 05/2020 |
| 305 | 2^2086088+243487 | 627976 | Enzo Doria | 12/2025 |
| 306 | 2^2085359+242633 | 627756 | Enzo Doria | 11/2025 |
| 307 | 2^2084902+250069 | 627619 | Enzo Doria | 08/2026 |
| 308 | (41^389089+1)/42 | 627515 | Paul Bourdelais | 06/2026 |
| 309 | 2^2083766+73519 | 627277 | Enzo Doria | 01/2019 |
| 310 | 2^2059686+51859 | 620028 | Enzo Doria | 01/2026 |
| 311 | 2^2055424+243781 | 618745 | Enzo Doria | 12/2025 |
| 312 | 2^2050909+246107 | 617386 | Enzo Doria | 04/2026 |
| 313 | 2^2045938+51799 | 615889 | Enzo Doria | 11/2025 |
| 314 | 2^2045401+245057 | 615728 | Enzo Doria | 02/2026 |
| 315 | (16105^146689-1)/(16105^383-1) | 615504 | Ryan Propper | 11/2023 |
| 316 | (20^472709-1)/19 | 615008 | Paul Bourdelais | 01/2015 |
| 317 | PIPrime(613373) | 613373 | Adrian Bondrescu | 05/2016 |
| 318 | 124452^80465+80465^124452 | 610513 | Ryan Propper | 10/2023 |
| 319 | 11^586020-2 | 610277 | Paul Bourdelais | 11/2021 |
| 320 | (19^476929+1)/20 | 609874 | Paul Bourdelais | 03/2015 |
| 321 | 2^2024217+247007 | 609351 | Enzo Doria | 07/2026 |
| 322 | (7^720497-2^720497)/5 | 608890 | Jon Grantham | 08/2023 |
| 323 | 2^2020893-25 | 608350 | Boyan Hu | 01/2025 |
| 324 | 2^2019811+1867211 | 608024 | Enzo Doria | 04/2018 |
| 325 | 2^2018225+243137 | 607547 | Enzo Doria | 12/2025 |
| 326 | F(2904353) | 606974 | Henri Lifchitz | 07/2014 |
| 327 | 2^2014720+71893 | 606492 | Enzo Doria | 04/2018 |
| 328 | (5^866029-3^866029)/2 | 605328 | Jon Grantham | 08/2023 |
| 329 | L(2894561) | 604928 | Ryan Propper | 06/2022 |
| 330 | (18^481147+1)/19 | 603970 | Paul Bourdelais | 07/2011 |
| 331 | 200^262144+119^262144 | 603202 | Kellen Shenton | 08/2022 |
| 332 | (20^463511+1)/21 | 603041 | Paul Bourdelais | 03/2025 |
| 333 | 2^2002275+54983 | 602745 | Enzo Doria | 02/2026 |
| 334 | (70^326437-1)/69 | 602307 | Paul Bourdelais | 02/2025 |
| 335 | 2^1993869+50447 | 600215 | Enzo Doria | 11/2025 |
| 336 | (83467^121801-1)/(83467^349-1) | 597728 | Ryan Propper | 11/2023 |
| 337 | 2^1984137+57467 | 597285 | Enzo Doria | 06/2026 |
| 338 | (61448^124609-1)/(61448^353-1) | 595001 | Ryan Propper | 11/2023 |
| 339 | (15^505117-1)/14 | 594063 | Paul Bourdelais | 01/2015 |
| 340 | 2^1971190+43819 | 593388 | Enzo Doria | 04/2025 |
| 341 | 81^310721-80^310721 | 593007 | Paul Bourdelais | 07/2023 |
| 342 | (152^270217-1)/(152-1) | 589570 | Michael Stocker | 06/2015 |
| 343 | 2^1956787+245063 | 589052 | Enzo Doria | 02/2026 |
| 344 | 2^1955607+243143 | 588697 | Enzo Doria | 12/2025 |
| 345 | 2^1951707+234041 | 587523 | Enzo Doria | 04/2025 |
| 346 | Phi(177147,94259) | 587458 | Anonymous | 09/2022 |
| 347 | 2^1950002+1867369 | 587010 | Enzo Doria | 02/2018 |
| 348 | 116265^111218+111218^116265 | 586694 | Ryan Propper | 10/2023 |
| 349 | 2^1948235+50483 | 586478 | Enzo Doria | 11/2025 |
| 350 | 2^1943891+248603 | 585170 | Enzo Doria | 05/2026 |
| 351 | 2^1940812+3 | 584243 | Paul Bourdelais | 06/2020 |
| 352 | 2^1934334+243589 | 582293 | Enzo Doria | 01/2026 |
| 353 | 1933695^2+2^1933695 | 582101 | Ryan Propper | 05/2023 |
| 354 | (5^832151-2^832151)/3 | 581649 | Jon Grantham | 08/2023 |
| 355 | 2^1930754+51259 | 581215 | Enzo Doria | 02/2026 |
| 356 | 2^1930263+229883 | 581068 | Enzo Doria | 01/2025 |
| 357 | 2^1927404+240751 | 580207 | Enzo Doria | 09/2025 |
| 358 | (129810^113569-1)/(129810^337-1) | 578991 | Ryan Propper | 11/2023 |
| 359 | 2^1923104+153 | 578912 | Stefano Morozzi | 07/2021 |
| 360 | (48^343901-1)/47 | 578179 | Paul Bourdelais | 03/2025 |
| 361 | 116761^87652+87652^116761 | 577122 | Ryan Propper | 10/2023 |
| 362 | 116395^87994+87994^116395 | 575510 | Ryan Propper | 10/2023 |
| 363 | (3^1205459+1)/4 | 575150 | Paul Bourdelais | 08/2015 |
| 364 | 2^1910103+231413 | 574999 | Enzo Doria | 07/2025 |
| 365 | 2^1909024+52021 | 574674 | Enzo Doria | 12/2025 |
| 366 | 2^1904743+42713 | 573385 | Enzo Doria | 06/2025 |
| 367 | 2^1904054+49999 | 573178 | Enzo Doria | 09/2025 |
| 368 | 2^1900703+49853 | 572169 | Enzo Doria | 09/2025 |
| 369 | 2^1900633-18099 | 572148 | Stefano Morozzi | 09/2025 |
| 370 | 2^1900634-9131 | 572148 | Stefano Morozzi | 09/2025 |
| 371 | 2^1900622-141095 | 572145 | Stefano Morozzi | 09/2025 |
| 372 | 2^1900610-193031 | 572141 | Stefano Morozzi | 08/2025 |
| 373 | 2^1900611-167967 | 572141 | Stefano Morozzi | 08/2025 |
| 374 | 2^1900607-47727 | 572140 | Stefano Morozzi | 07/2025 |
| 375 | 2^1900604-7659 | 572139 | Stefano Morozzi | 07/2025 |
| 376 | 2^1900059-153039 | 571975 | Stefano Morozzi | 09/2025 |
| 377 | 2^1900055-192841 | 571974 | Stefano Morozzi | 09/2025 |
| 378 | 2^1900056-190077 | 571974 | Stefano Morozzi | 09/2025 |
| 379 | 2^1900044-179669 | 571971 | Stefano Morozzi | 09/2025 |
| 380 | 2^1900035-5485 | 571968 | Stefano Morozzi | 08/2025 |
| 381 | 2^1900027-131409 | 571966 | Stefano Morozzi | 08/2025 |
| 382 | 2^1900021-14971 | 571964 | Stefano Morozzi | 08/2025 |
| 383 | 2^1900022-15353 | 571964 | Stefano Morozzi | 08/2025 |
| 384 | 2^1900023-177499 | 571964 | Stefano Morozzi | 08/2025 |
| 385 | 2^1900017-176593 | 571963 | Stefano Morozzi | 08/2025 |
| 386 | 2^1900012-162405 | 571961 | Stefano Morozzi | 07/2025 |
| 387 | 2^1900005-101625 | 571959 | Stefano Morozzi | 07/2025 |
| 388 | 2^1900005-101713 | 571959 | Stefano Morozzi | 07/2025 |
| 389 | 2^1900002-24945 | 571958 | Stefano Morozzi | 07/2025 |
| 390 | 2^1898128+54391 | 571394 | Enzo Doria | 02/2026 |
| 391 | 2^1895562+229729 | 570622 | Enzo Doria | 02/2025 |
| 392 | (160972^109561-1)/(160972^331-1) | 568734 | Ryan Propper | 11/2023 |
| 393 | 2^1887092+38191 | 568072 | Enzo Doria | 01/2025 |
| 394 | 2^1886858+56209 | 568001 | Enzo Doria | 07/2026 |
| 395 | 2^1885857+48359 | 567700 | Enzo Doria | 09/2025 |
| 396 | (37015^124609-1)/(37015^353-1) | 567649 | Ryan Propper | 11/2023 |
| 397 | 2^1885320+233581 | 567538 | Enzo Doria | 09/2025 |
| 398 | 2^1883428+48381 | 566969 | Enzo Doria | 12/2025 |
| 399 | 2^1882800+384541 | 566780 | Enzo Doria | 12/2017 |
| 400 | (2^1882787-2^941394+1)/5 | 566775 | Borys Jaworski | 11/2012 |
| 401 | 2^1882474+71389 | 566682 | Enzo Doria | 04/2018 |
| 402 | (6^727496-11)/5 | 566102 | Paul Bourdelais | 08/2019 |
| 403 | 2^1876943+49343 | 565017 | Enzo Doria | 12/2025 |
| 404 | 2^1875552+3 | 564598 | Paul Bourdelais | 04/2020 |
| 405 | (145373^109561-1)/(145373^331-1) | 563899 | Ryan Propper | 11/2023 |
| 406 | (10^563535-7)/3 | 563535 | Rytis Slatkevicius | 02/2023 |
| 407 | 3^1180181-2 | 563090 | Jorge Coveiro | 05/2020 |
| 408 | (15063^134689-1)/(15063^367-1) | 561186 | Ryan Propper | 11/2023 |
| 409 | 2^1861942+48859 | 560501 | Enzo Doria | 09/2025 |
| 410 | 2^1857113+243017 | 559047 | Enzo Doria | 12/2025 |
| 411 | 2^1852265+1890425 | 557588 | Enzo Doria | 11/2017 |
| 412 | 2^1851524+50461 | 557365 | Enzo Doria | 09/2025 |
| 413 | 5^797390-2 | 557352 | Paul Bourdelais | 03/2021 |
| 414 | 2^1851447+38573 | 557342 | Enzo Doria | 02/2025 |
| 415 | (10^556441-7^556441)/3 | 556441 | Jon Grantham | 07/2023 |
| 416 | 8^615997-7^615997 | 556301 | Jean-Louis Charton | 07/2009 |
| 417 | (5^795829-2^795829)/3 | 556261 | Jon Grantham | 08/2023 |
| 418 | Tau(773^34960) | 555339 | Nik Lygeros / Olivier Rozier | 09/2015 |
| 419 | ((((((((((1361^3+6)^3+80)^3+12)^3+450)^3+894)^3+3636)^3+70756)^3+97220)^3+66768)^3+300840)^3+1623568 | 555154 | Serge Batalov | 08/2013 |
| 420 | 2^1840973+248477 | 554189 | Enzo Doria | 06/2026 |
| 421 | 2^1835428+227221 | 552519 | Enzo Doria | 01/2025 |
| 422 | 2^1835205+225197 | 552452 | Enzo Doria | 10/2024 |
| 423 | 2^1833164+246091 | 551838 | Enzo Doria | 04/2026 |
| 424 | 2^1828584+53041 | 550459 | Enzo Doria | 12/2025 |
| 425 | 2^1827961+43427 | 550272 | Enzo Doria | 05/2025 |
| 426 | 2^1825513+32507 | 549535 | Enzo Doria | 07/2024 |
| 427 | Phi(533885,2^5) | 549079 | Henri Lifchitz | 02/2026 |
| 428 | 2^1823921+34937 | 549055 | Enzo Doria | 11/2024 |
| 429 | 2^1822728+228991 | 548696 | Enzo Doria | 02/2025 |
| 430 | 2^1819810+42727 | 547818 | Enzo Doria | 03/2025 |
| 431 | 2^1818888+239851 | 547540 | Enzo Doria | 12/2025 |
| 432 | 2^1818605+51917 | 547455 | Enzo Doria | 10/2025 |
| 433 | 2^1817868+242821 | 547233 | Enzo Doria | 02/2026 |
| 434 | (42^337081-1)/41 | 547165 | Paul Bourdelais | 09/2021 |
| 435 | 114868^57423+57423^114868 | 546667 | Ryan Propper | 10/2023 |
| 436 | 2^1815834+231799 | 546621 | Enzo Doria | 05/2025 |
| 437 | 2^1814913+37607 | 546344 | Enzo Doria | 12/2024 |
| 438 | 109092^100999+100999^109092 | 545931 | Ryan Propper | 10/2023 |
| 439 | 2^1812446+34789 | 545601 | Enzo Doria | 02/2025 |
| 440 | 2^1812234+31879 | 545537 | Enzo Doria | 05/2024 |
| 441 | (64814^113569-1)/(64814^337-1) | 544835 | Ryan Propper | 11/2023 |
| 442 | 2^1809045+225641 | 544577 | Enzo Doria | 12/2024 |
| 443 | 2^1806435+42683 | 543792 | Enzo Doria | 05/2025 |
| 444 | 2^1804650+230149 | 543254 | Enzo Doria | 02/2025 |
| 445 | 2^1804109+37007 | 543091 | Enzo Doria | 11/2024 |
| 446 | (92170^109561-1)/(92170^331-1) | 542283 | Ryan Propper | 11/2023 |
| 447 | 2^1799578+36883 | 541727 | Enzo Doria | 03/2025 |
| 448 | 2^1797319+29693 | 541047 | Enzo Doria | 11/2024 |
| 449 | (28262^121801-1)/(28262^349-1) | 540608 | Ryan Propper | 11/2023 |
| 450 | (68^294947+1)/69 | 540492 | Paul Bourdelais | 03/2025 |
| 451 | 2^1792175+230543 | 539499 | Enzo Doria | 01/2025 |
| 452 | 2^1791569+33587 | 539317 | Enzo Doria | 09/2024 |
| 453 | 2^1791074+245209 | 539167 | Enzo Doria | 05/2026 |
| 454 | (2^1790743-1)/(146840927*158358984977*3835546416767873*20752172271489035681) | 539014 | Dario Alpern | 06/2015 |
| 455 | 10^538640-3 | 538640 | Paul Bourdelais | 01/2021 |
| 456 | (10^538508+53)/9 | 538508 | Rytis Slatkevicius | 01/2023 |
| 457 | 2^1787653+224687 | 538138 | Enzo Doria | 10/2024 |
| 458 | 2^1787167+71963 | 537991 | Enzo Doria | 12/2018 |
| 459 | (7^636043-5^636043)/2 | 537519 | Jon Grantham | 08/2023 |
| 460 | 108309^91610+91610^108309 | 537424 | Ryan Propper | 10/2023 |
| 461 | 2^1782391+239903 | 536554 | Enzo Doria | 09/2025 |
| 462 | 2^1780909+53255 | 536108 | Enzo Doria | 05/2026 |
| 463 | 2^1777975+233603 | 535224 | Enzo Doria | 04/2025 |
| 464 | (12^495953+1)/13 | 535223 | Paul Bourdelais | 11/2018 |
| 465 | 2^1776633+55247 | 534820 | Enzo Doria | 02/2026 |
| 466 | 2^1774781+30197 | 534263 | Enzo Doria | 08/2024 |
| 467 | 2^1773685+242987 | 533933 | Enzo Doria | 06/2026 |
| 468 | 2^1773644+72511 | 533921 | Enzo Doria | 10/2018 |
| 469 | (92^271639-1)/91 | 533440 | Paul Bourdelais | 02/2022 |
| 470 | 2^1771408+223201 | 533247 | Enzo Doria | 07/2024 |
| 471 | 2^1770613+212597 | 533008 | Enzo Doria | 10/2023 |
| 472 | 2^1769210+246559 | 532586 | Enzo Doria | 06/2026 |
| 473 | (11559^131072+1)/2 | 532535 | Serge Batalov | 04/2018 |
| 474 | (85^275881-1)/84 | 532289 | Paul Bourdelais | 02/2022 |
| 475 | 2^1767579+213683 | 532095 | Enzo Doria | 10/2023 |
| 476 | 2^1767369+49217 | 532032 | Enzo Doria | 10/2025 |
| 477 | 2^1767218+25249 | 531986 | Enzo Doria | 02/2024 |
| 478 | 2^1762004-3 | 530417 | Paul Bourdelais | 04/2020 |
| 479 | 2^1761634+48019 | 530305 | Enzo Doria | 06/2025 |
| 480 | 2^1754760+217465 | 528236 | Enzo Doria | 01/2024 |
| 481 | 2^1753261+25367 | 527785 | Enzo Doria | 11/2023 |
| 482 | 105006^105006-133^133 | 527258 | Sergey Batalov | 05/2024 |
| 483 | 2^1750727+213683 | 527022 | Enzo Doria | 10/2023 |
| 484 | 2^1750208+218371 | 526866 | Enzo Doria | 01/2024 |
| 485 | 2^1746355+58883 | 525706 | Enzo Doria | 08/2026 |
| 486 | 2^1743981+28997 | 524991 | Enzo Doria | 03/2024 |
| 487 | 2^1740587+40493 | 523969 | Enzo Doria | 02/2025 |
| 488 | 2^1737680+23161 | 523094 | Enzo Doria | 01/2024 |
| 489 | (73^280697+1)/74 | 523028 | Paul Bourdelais | 02/2022 |
| 490 | 2^1737207+218153 | 522952 | Enzo Doria | 05/2024 |
| 491 | 2^1736042+54859 | 522601 | Enzo Doria | 05/2026 |
| 492 | 2^1735354+227509 | 522394 | Enzo Doria | 11/2024 |
| 493 | 2^1734898+225529 | 522257 | Enzo Doria | 09/2024 |
| 494 | 2^1733867+231383 | 521946 | Enzo Doria | 03/2025 |
| 495 | (21^394579+1)/22 | 521719 | Paul Bourdelais | 10/2018 |
| 496 | 2^1732919+43553 | 521661 | Enzo Doria | 04/2025 |
| 497 | 2^1732565+226757 | 521555 | Enzo Doria | 12/2024 |
| 498 | 2^1732383+49343 | 521500 | Enzo Doria | 11/2025 |
| 499 | 2^1732284+53791 | 521470 | Enzo Doria | 12/2025 |
| 500 | 2^1732063+55463 | 521403 | Enzo Doria | 04/2026 |
