Primorial Primes, 1st Kind
Term: n# − 1
Total: 23
References: PrimeGridPrimePages
# Number Digits When Who PrimePages − ID
23 6533299# − 1 2835864 Aug 2024 Christian Wallbaum; MultiSieve/mtsieve; PrimeGrid; PRST; OpenPFGW 138455
22 6354977# − 1 2758832 Aug 2024 Tom Greer; MultiSieve/mtsieve; PrimeGrid; PRST; OpenPFGW 138411
21 4778027# − 1 2073926 Aug 2024 Kai Presler; MultiSieve/mtsieve; PrimeGrid; PRST; OpenPFGW 138382
20 3267113# − 1 1418398 Sep 2021 James Winskill; FactorialPrimorial Sieves; PrimeGrid; OpenPFGW 132758
19 1098133# − 1 476311 Mar 2012 James P. Burt; FactorialPrimorial Sieves; PrimeGrid; OpenPFGW 105273
18 843301# − 1 365851 Dec 2010 MichaƂ Gasewicz; FactorialPrimorial Sieves; PrimeGrid; OpenPFGW 97061
17 15877# − 1 6845 Dec 1992 Chris Caldwell; Harvey Dubner; Dubner Cruncher 21658
16 13033# − 1 5610 Dec 1992 Chris Caldwell; Harvey Dubner; Dubner Cruncher 23403
15 6569# − 1 2811 Dec 1992 Harvey Dubner; Dubner Cruncher 29992
14 4583# − 1 1953 Dec 1992 Harvey Dubner; Dubner Cruncher 37447
13 4297# − 1 1844 Dec 1992 Harvey Dubner; Dubner Cruncher 37739
12 4093# − 1 1750 Oct 1992 Chris Caldwell; Harvey Dubner; Dubner Cruncher 38100
11 2377# − 1 1007 Oct 1992 Harvey Dubner; Dubner Cruncher 56704
10 2053# − 1 866
9 1873# − 1 790
8 991# − 1 413
7 337# − 1 136
6 317# − 1 131
5 89# − 1 35
4 41# − 1 15
3 13# − 1 5
2 5# − 1 2
1 3# − 1 1


Primorial Primes, 2nd Kind
Term: n# + 1
Total: 27
References: PrimeGridPrimePages
# Number Digits When Who PrimePages − ID
27 9562633# + 1 4151498 Jun 2025 Vaughan Davies; MultiSieve, PrimeGrid, PRST, OpenPFGW 140909
26 7351117# + 1 3191401 Sep 2024 Bryan Little; MultiSieve/mtsieve; PrimeGrid; PRST; OpenPFGW 138558
25 6369619# + 1 2765105 Aug 2024 Nick Merrylees; MultiSieve/mtsieve; PrimeGrid; PRST; OpenPFGW 138406
24 5256037# + 1 2281955 Aug 2024 Itsuki Kadowaki; MultiSieve/mtsieve; PrimeGrid; PRST; OpenPFGW 138394
23 4328927# + 1 1878843 Jul 2024 Kai Presler; MultiSieve/mtsieve; PrimeGrid; PRST; OpenPFGW 138350
22 392113# + 1 169966 Sep 2001 Daniel Heuer; OpenPFGW 65
21 366439# + 1 158936 Aug 2001 Daniel Heuer; OpenPFGW 69
20 145823# + 1 63142 May 2000 Arlin E. Anderson; Donald Edward Robinson; OpenPFGW 411
19 42209# + 1 18241 May 1999 Chris Caldwell; OpenPFGW 10216
18 24029# + 1 10387 Dec 1993 Chris Caldwell; Dubner Cruncher 17239
17 23801# + 1 10273 Dec 1993 Chris Caldwell; Dubner Cruncher 17298
16 18523# + 1 8002 1989 Harvey Dubner; Dubner Cruncher 19513
15 13649# + 1 5862 1987 Harvey Dubner; Dubner Cruncher 23075
14 11549# + 1 4951 1986 Harvey Dubner; Dubner Cruncher 25578
13 4787# + 1 2038 1984 Harvey Dubner; Dubner Cruncher 35269
12 4547# + 1 1939 1984 Harvey Dubner; Dubner Cruncher 37490
11 3229# + 1 1368 1984 Harvey Dubner; Dubner Cruncher 40847
10 2657# + 1 1115 1981 Joe P. Buhler; Richard E. Crandall; Michael A. Penk 51704
9 1021# + 1 428
8 1019# + 1 425
7 379# + 1 154
6 31# + 1 12
5 11# + 1 4
4 7# + 1 3
3 5# + 1 2
2 3# + 1 1
1 2# + 1 1