A090649 Numbers k such that 9^k + 2 is prime.

0, 1, 2, 4, 5, 7, 12, 13, 18, 49, 55, 63, 193, 247, 610, 929, 2173, 3479, 5494, 11158, 16754, 30920, 47752, 50702, 53725, 68122, 89214, 180804

Offset: 1

Author

Herman H. Rosenfeld (herm3(AT)pacbell.net), Feb 02 2004

Keywords

• nonn
• more
• hard

Comments

All terms are the exact halves of the even terms in A051783. - Alexander Adamchuk, Mar 02 2008

a(29) > 2*10^5. - Robert Price, Aug 18 2014

Examples

			9^13 + 2 = 2541865828331 is prime, so 13 is a term.
		

Links

• Henri Lifchitz and Renaud Lifchitz, PRP Records.

Crossrefs

Cf. A051783 (3^k + 2 is prime), A087885 (5^k + 2 is prime).

Programs

Mathematica

Do[ If[ PrimeQ[9^n + 2], Print[n]], {n, 1, 2250}] (* Robert G. Wilson v, Feb 06 2004 *)

PARI

for(i=0,700,if(isprime(9^i+2),print(i)))

Extensions

More terms from mohammed bouayoun (bouyao(AT)wanadoo.fr), Feb 04 2004

Further terms from Robert G. Wilson v and Ray Chandler, Feb 06 2004

a(20) - a(22) found by Henri Lifchitz, a(23) found by Wojciech Florek. - Jason Earls, Feb 25 2008

a(24)-a(27) from A051783 by Ray Chandler, Aug 06 2011

a(28) from Robert Price, Aug 18 2014

Removal of erroneous term (97715) by Robert Price, Aug 19 2014