A245457 a(n) = ((prime(n)-1)!+2) mod prime(n)# (cf. A002110).

1, 4, 26, 92, 2102, 23102, 60062, 510512, 29099072, 3792578792, 84106011992, 2005604901302, 252305096583542, 11561510014033982, 52331045326680122, 31359378912013061912, 1792403716245452460152, 98060777857864844592572, 3401363059422802158514832

Offset: 1

Author

Vladimir Shevelev, Jul 22 2014

Keywords

• nonn

Comments

Smallest positive residue modulo p_1*...*p_n (cf. A002110) of (p_n-1)!+2, where p_n=prime(n).

See comment in A245460.

Links

• Jens Kruse Andersen, Table of n, a(n) for n = 1..100
• V. Shevelev, Theorems on twin primes-dual case, arXiv:0912.4006 (Sections 10,11,14-18)

Crossrefs

Cf. A002110, A244570, A244571, A244572.

Programs

PARI

a(n) = ((prime(n)-1)!+2) % prod(i=1, n, prime(i)) \\ Jens Kruse Andersen, Jul 22 2014

Extensions

More terms and simpler definition from Jens Kruse Andersen, Jul 22 2014