A068234 a(n) is the smallest prime p such that p and the next n-1 primes are all == 5 (mod 12).

5, 509, 4397, 42509, 647417, 647417, 1248869, 13175609, 234946997, 1039154933, 7114719473, 32021552837, 32021552837, 1237381737257, 2904797643617, 2904797643617, 2904797643617

Offset: 1

Author

Ferenc Adorjan (fadorjan(AT)freemail.hu), Feb 22 2002

Keywords

• nice
• nonn

Comments

Dickson's conjecture implies that a(n) exists for all n.

a(18) > 4*10^14. - Giovanni Resta, Aug 04 2013

Links

• The Prime Glossary, Dickson's conjecture

Crossrefs

Cf. A068227, A068228, A068229, A040117, A068231, A068232, A068233, A068235.

Programs

Mathematica

For[i=n=1, True, Null, For[j=0, jHarvey P. Dale, Feb 02 2022 *)

PARI

{i=n=1; while(1,j=0; while(j
				

Extensions

Edited by Dean Hickerson, Mar 06 2002

More terms from Giovanni Resta, Feb 18 2006