Primorial ±1

Composite numbers of the form Primorial ±1 with factorization complete (p# ±1 for p = 2293 to 10343 with p prime)

10343# +1 = 3287245849 ^. p4453
10061# +1 = 2524429 ^. 3625385087 ^. 10030725040031 ^. p4289
10061# -1 = 70639 ^. 6125384906440741 ^. p4298
8291# +1 = 246511 ^. p3544
8221# -1 = 362431 ^. p3509
7963# -1 = 1024901 ^. 1629427 ^. p3405
6949# +1 = 79631 ^. 291901 ^. 14480491 ^. 56205406628747 ^. p2944
5953# +1 = 133831 ^. 19309429 ^. 93304619549 ^. p2529
5737# -1 = 769943 ^. p2445
5653# -1 = 79817 ^. p2408
5501# +1 = 6287 ^. 9151 ^. 57139 ^. 174829 ^. p2328
5441# -1 = 6703 ^. 2947523 ^. p2309
5333# -1 = 422099 ^. 82171403 ^. 1153468693807 ^. p2245
4391# -1 = 3120127 ^. 166660339 ^. 2375227289 ^. p1849
4357# +1 = 6264593 ^. 4998038011 ^. p1845
3631# +1 = 150377 ^. p1544
3539# -1 = 24017334917 ^. 428008390969 ^. 4622973359997859 ^. p1465
3463# -1 = 108421 ^. 350557139 ^. p1453
3313# +1 = 1245623 ^. 7545563 ^. 568281970313 ^. p1375
3049# -1 = 107360777097237791 ^. p1281
3037# -1 = 530720806081304759 ^. p1274
2897# -1 = 126047 ^. 131581 ^. 2815691 ^. p1219
2713# +1 = 4201 ^. 228421 ^. 760343 ^. 5609437 ^. p1135
2477# +1 = 2193181 ^. 33981868553 ^. p1041

p4453 = 4453 digit prime number

MultiSieve (written by Mark Rodenkirch) was used to find the factors < 2³⁷
GMP-ECM was used to find the factors > 2³⁷

All prime cofactors on this page from 1041 to 4453 digits long were proven prime with PRIMO (written by Marcel Martin). Click here to download the primality certificates. All factors on this page were found by me.

p# ±1 for p > 10343
p# ±1 for p = 607 to 2287
p# ±1 for p = 2 to 601: Hisanori Mishima's Primorial ±1 Factorizations: p# +1 and p# -1
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Last updated on March 3, 2007
Donovan Johnson