A193430 Primes p such that p+1 is in A055462.

23, 6911, 5944066965503999

Offset: 1

Author

Kausthub Gudipati, Jul 28 2011

Keywords

• nonn
• bref
• hard

Comments

Prime numbers that are one less than the product of first n superfactorials.

The next term, if it exists, has more than 75,000 digits.

Subsequence of A238265.

Examples

			23 is a term because 23 = 1! * (1! * 2!) * (1! * 2! * 3!) - 1.
		

Crossrefs

Cf. A005462, A000040.

Programs

PARI

t=1;k=1;for(n=2,100,t*=n!;k*=t;if(ispseudoprime(k-1),print1(k-1", "))) \\ Charles R Greathouse IV, Jul 28 2011

Formula

a(n) are the prime values of 1! * (1! * 2!) * (1! * 2! * 3!) * (1! * 2! * 3! * ... * n!) - 1