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Numbers k such that (11^k - 6^k)/5 is prime.
3

%I #15 Nov 11 2024 02:07:54

%S 2,3,11,163,191,269,1381,1493,38453

%N Numbers k such that (11^k - 6^k)/5 is prime.

%C All terms are prime.

%C The corresponding primes: 17, 223, 56989774711, ...

%t Select[Range[1, 10000], PrimeQ[(11^# - 6^#)/5] &]

%o (PARI) for(n=1, 10000, if(isprime((11^n - 6^n)/5), print1(n, ", ")))

%Y Cf. A005808, A210506, A128027, A216181, A128347, A273599, A273600, A273601, A062577.

%K nonn,more,hard

%O 1,1

%A _Tim Johannes Ohrtmann_, May 26 2016

%E a(9) from _Michael S. Branicky_, Nov 10 2024