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A186687 Primes of the form k*6^m - 1, where k is a Mersenne prime (A000668) and m >= 0. 0

%I #9 Sep 08 2022 08:45:55

%S 2,17,41,107,251,647,761,1511,23327,27431,139967,3145721,30233087,

%T 35551871,6530347007,39182082047,91424858111,146766805631,

%U 6847552083566591,153558654482644991,246511875008397311,14215144014964850687

%N Primes of the form k*6^m - 1, where k is a Mersenne prime (A000668) and m >= 0.

%C Twin of A185167.

%e (2^1279-1)*6^1047-1 is prime.

%t Union[Flatten[Table[Select[p*6^Range[0, 30] - 1, # < 10^20 && PrimeQ[#] &], {p, {3, 7, 31, 127, 8191, 131071, 524287, 2147483647, 2305843009213693951}}]]]

%o (Magma)

%o [n: n in [0..3000] | IsPrime((2^1279-1)*6^n-1)];

%Y Cf. A186104, A186105, A185069, A185167.

%K nonn

%O 1,1

%A _Gilbert Mozzo_, Feb 25 2011

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)