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Numbers n such that (13^n + 2^n)/15 is prime.
2

%I #57 Jul 29 2013 12:02:05

%S 7,31,103,223,503,1171,1973,4111,4729

%N Numbers n such that (13^n + 2^n)/15 is prime.

%C All terms are prime.

%C a(10) > 10^5.

%t Select[Prime[Range[1, 100000]], PrimeQ[(13^# + 2^#)/15]&]

%o (PARI) forprime(p=3,10^6, if(ispseudoprime((13^p + 2^p)/15), print1(p,", ") ) ); \\ _Joerg Arndt_, Jul 29 2013

%Y Cf. A125956, A125957, A057159, A128071, A213176.

%K nonn,hard,more

%O 1,1

%A _Robert Price_, May 05 2013

%E Removed incorrect first term of "2".