Composite numbers of the form Primorial ±1
with factorization complete
(p# ±1 for p = 607 to 2287 with p prime)
2287# +1 = 281579 . 13686883649 . 24788421007373 . p937
2141# -1 = 394731569 . 56731972667 . p890
1999# -1 = 129169 . 11610499 . 1631329793 . 2806567905553 . 1921857485058364219 . p791
1979# -1 = 94781759 . 522733009 . 49731311488806342883 . p793
1931# +1 = 6059293213141955807 . p795
1847# +1 = 183937771 . 342176133889 . p757
1787# -1 = 8429 . 182999 . 9844937 . 96820303 . 2106099449 . 5042279577994858084709 . p703
1583# +1 = 28917926159 . p660
1531# +1 = 3438133 . 5021143 . 155320691 . 42563487341293 . 6845668503947995303 . p591
1523# +1 = 6369464272063091 . p626
1459# -1 = 7691 . 24226415429 . 231639231931 . p588
1429# -1 = 6421 . 199967 . 442009 . p580
1381# -1 = 48299 . p574
1217# +1 = 23584344930234589647359 . p488
1153# -1 = 1424525332337 . p473
1129# -1 = 4943 . 25741 . 90215638584630582763 . p451
1117# +1 = 3709 . 2970754387 . 7394258840902783 . 94584100174725501817 . p424
1109# -1 = 24407 . 104297 . 1554350577619765223633 . p440
1069# +1 = 334475159 . p443
1061# -1 = 784423 . 49152669977 . p429
997# +1 = 24889 . 2976668971 . 27792223258151771969987 . p379
953# +1 = 281297273669 . p386
937# -1 = 37811 . 169151 . 1922273 . p373
919# -1 = 1181 . 997030379084688575361184144236643271 . 1677036798638480081836623887018471486963 . p305
911# +1 = 222023 . 34928230543 . p364
863# -1 = 746027341427 . p350
859# -1 = 246016739 . p351
809# +1 = 1070471 . 3873550845639282370384140047 . p299
821# +1 = 163332756949 . 833186596427 . 469864304895779707 . p298
821# -1 = 42844194023 . 2081920575629325101736794326231891 . 18303018932796265837451137127995991537 . p258
787# -1 = 640227319 . 195480351097 . 96179166277977241951912544193004581067 . p269
761# +1 = 1105910694925154516147014061 . p292
757# +1 = 118297 . 5253586910179 . p298
751# +1 = 122011 . 5550519472671808301 . 107219092867216706861 . p269
719# -1 = 315643 . 32359716829426871567 . 88647341804397845889270502286297167 . p239
709# -1 = 660924521623121209230107 . p272
691# +1 = 311183 . 3729899 . 1047000599 . p269
691# -1 = 2063 . 11903 . 73185571 . p275
683# -1 = 8259773239673410178219 . 1117851672037311855867905317 . p238
659# +1 = 673 . 58654945836589 . 5866080258920043941 . 12249379519905617530088671 . p215
647# +1 = 1615231 . 448993731568303 . 127131588707571869 . 352925454341187198703993 . p209
647# -1 = 109357 . 264662480113 . 96845100804929751855099343956577 . 634163762591334034876650206168249 . 1043491596115200301976980106139555467 . 4460710194647866091044047379244155081819 . p113
643# -1 = 715927 . 1584943 . 116046855943 . 6051612209391237371 . p225
641# -1 = 881 . 4397 . 29801225368257341 . p241
631# -1 = 7927 . 955778837175127886026871 . p234
617# +1 = 61229914799 . 414884834336729112847 . 77711549753352756562403147015870517839 . p187
617# -1 = 5591 . 8872082170081202214192437 . p227
613# +1 = 4871 . 150239 . 2149611647 . 379336946628063557424184731468139757871061 . p194
607# +1 = 3049 . 1614289 . 9187753 . p234
p937 = 937 digit prime number
MultiSieve (written by Mark Rodenkirch) was used to find the factors < 237
GMP-ECM was used to find the factors > 237
The factorizations for 937# -1, 919# -1, 859# -1, 821# -1, 787#-1, 719# -1, 647# -1, 617# +1 and 613# +1 were obtained from Joppe Bos
All prime cofactors on this page from 209 to 937 digits long were proven prime with PRIMO (written by Marcel Martin).
Click here to download the primality certificates.
p# ±1 for p > 10343
p# ±1 for p = 2293 to 10343
p# ±1 for p = 2 to 601: Hisanori Mishima's Primorial ±1 Factorizations: p# +1
and p# -1
p# ±1 for p = 2 to 941: Joppe Bos's Factorizations of Primorials ±1: p# +1
and p# -1
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Last updated on September 24, 2007
Donovan Johnson