A273598 Numbers k such that (11^k - 6^k)/5 is prime.

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

Offset: 1

Author

Tim Johannes Ohrtmann, May 26 2016

Keywords

• nonn
• more
• hard

Comments

All terms are prime.

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

Crossrefs

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

Programs

Mathematica

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

PARI

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

Extensions

a(9) from Michael S. Branicky, Nov 10 2024