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A165946 Primes of the form p + (p-1)^3, where p is also prime. 1

%I #13 Sep 08 2022 08:45:48

%S 3,11,223,1741,5851,27031,74131,216061,1061311,1259821,2000503,

%T 4251691,5832181,13824241,21024853,30371641,37933393,49028263,

%U 54010531,67917721,84028111,123506491,162771883,185193571,191103553,216000601,229221541,250047631,264609931

%N Primes of the form p + (p-1)^3, where p is also prime.

%C Generated by p = 2, 3, 7, 13, 19, 31, 43, 61, 103, 109, 127,... [_R. J. Mathar_, Oct 28 2009]

%H Vincenzo Librandi, <a href="/A165946/b165946.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Table[Prime[i] + (Prime[i] - 1)^3, {i, 300}], PrimeQ] (* _Harvey P. Dale_, Oct 07 2009 *)

%t Select[Table[p + (p - 1)^3, {p, Prime[Range[300]]}], PrimeQ] (* _Vincenzo Librandi_, Oct 12 2012 *)

%o (Magma) [a: p in PrimesInInterval(1, 1000) | IsPrime(a) where a is p + (p - 1)^3]; // _Vincenzo Librandi_, Oct 12 2012

%Y Cf. A095692, A163421. [_R. J. Mathar_, Oct 28 2009]

%K nonn,easy

%O 1,1

%A _Claudio Meller_, Oct 01 2009

%E 5 more terms from _R. J. Mathar_, Oct 28 2009

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)