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A228184 Numbers k such that k^2 + k + 41 is semiprime. 3

%I #18 May 19 2021 22:09:27

%S 40,41,44,49,56,65,76,81,82,84,87,89,91,96,102,104,109,117,121,122,

%T 123,126,127,130,136,138,140,143,147,155,159,161,162,163,164,170,172,

%U 173,178,184,185,186,187,190,201,204,205,207,208,209,213,215,216,217,218

%N Numbers k such that k^2 + k + 41 is semiprime.

%C Subsequence of A007634. Numbers in A007634 but not in here are 420, 431, 491, 492, 514, 533, 573, etc. (A097822). - _R. J. Mathar_, Aug 17 2013

%H Shyam Sunder Gupta, <a href="/A228184/b228184.txt">Table of n, a(n) for n = 1..4760</a>

%e a(3) = 44 is in the sequence because 44^2 + 44 + 41 = 43*47 is semiprime.

%t a = {}; Do[

%t If[PrimeOmega[x^2 + x + 41] == 2, AppendTo[a, x]], {x, 1, 500}]; a

%Y Cf. A002837, A001358, A007634.

%K nonn,less

%O 1,1

%A _Shyam Sunder Gupta_, Aug 15 2013

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Last modified August 30 13:06 EDT 2024. Contains 375543 sequences. (Running on oeis4.)