A088734 First primes in p^p - 2m where p is prime and m = 1,2..

2, 23, 3119, 19, 17, 302875106592241, 13, 11, 827240261886336764159, 7, 5, 3, 1978419655660313589123947, 3089, 3083, 823499, 3079, 10555134955777783414078330085995832946127396083370199442469, 823489

Offset

2,1

Comments

Conjecture: 2,3,5,7,11,13,17,19 are the only 1 and 2 digit primes in the sequence. The smallest 8 prime power less 2n primes PPL2NP?

Links

Table of n, a(n) for n=2..20.

Prog

(PARI) primeptop2n(n) = { forstep(m=2, n, 2, forprime(x=2, n, y=x^x-m; if(isprime(y), print1(y", "); break); ) ) }

Crossrefs

Sequence in context: A091763 A124513 A081781 * A087388 A117507 A068656

Adjacent sequences: A088731 A088732 A088733 * A088735 A088736 A088737

Keyword

nonn

Author

Cino Hilliard, Nov 23 2003

Status

approved