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Numbers k such that 6*5^k - 1 is prime.
1

%I #23 Dec 09 2024 14:20:37

%S 0,1,2,5,11,28,65,72,361,479,494,599,1062,1094,1193,2827,3271,3388,

%T 3990,4418,11178,16294,25176,42500,68320,85698,145259,159119,169771,

%U 252665,412051

%N Numbers k such that 6*5^k - 1 is prime.

%C All terms correspond to verified primes, that is, not merely probable primes.

%t Select[Range[0, 10000], PrimeQ[6*5^# - 1] &]

%o (Magma) [n: n in [0..2*10^3] | IsPrime(6*5^n-1)]; // _Vincenzo Librandi_, May 09 2015

%o (PARI) is(n)=ispseudoprime(6*5^n-1) \\ _Charles R Greathouse IV_, Jun 13 2017

%Y Cf. A143279.

%K nonn,hard,more

%O 1,3

%A _Robert Price_, May 08 2015

%E a(30) from _Riley Fisher_, Sep 20 2024

%E a(31) from _Riley Fisher_, Dec 09 2024