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A082182
Numbers k such that (5^k - 2^k)/3 is prime.
21
2, 5, 7, 13, 19, 37, 59, 67, 79, 307, 331, 599, 1301, 12263, 12589, 18443, 20149, 27983, 281807, 656657, 795829, 832151
OFFSET
1,1
COMMENTS
No other terms less than 100000. - Robert Price, Apr 06 2012
All terms are primes. Some of the results were computed using the PrimeFormGW (PFGW) primality-testing program. - Hugo Pfoertner, Nov 14 2019
No other terms less than 1000000. - Jon Grantham, Jul 29 2023
LINKS
EXAMPLE
a(1)=2 because (5^2 - 2^2)/3 = (25 - 4)/3 = 7 is a prime.
PROG
(PARI) forprime(p=2, 1e4, if(ispseudoprime((5^p-2^p)/3), print1(p", "))) \\ Charles R Greathouse IV, Jul 16 2011
CROSSREFS
Sequence in context: A175075 A262392 A056985 * A032719 A334246 A275287
KEYWORD
more,nonn
AUTHOR
Hugo Pfoertner, May 22 2003, Jun 23 2003
EXTENSIONS
a(17) from Herman Jamke (hermanjamke(AT)fastmail.fm), May 03 2007
a(18) from David Radcliffe, May 28 2007
a(19)-a(22) from Jon Grantham, Jul 29 2023
STATUS
approved