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Numbers k such that k^2 + k + 3 is prime.
6

%I #26 Aug 26 2024 11:44:11

%S 0,1,4,7,10,19,22,25,34,37,55,70,79,94,100,112,130,139,154,157,160,

%T 172,175,187,190,217,220,229,232,250,259,262,274,289,295,304,307,322,

%U 325,334,337,364,367,370,382,397,400,415,439,442,472,475,484

%N Numbers k such that k^2 + k + 3 is prime.

%H Seiichi Manyama, <a href="/A027752/b027752.txt">Table of n, a(n) for n = 1..10000</a>

%H P. De Geest, <a href="https://www.worldofnumbers.com/index.html">World!Of Numbers</a>

%o (Magma) [n: n in [0..1000] |IsPrime(n^2+n+3)]; // _Vincenzo Librandi_, Nov 20 2010

%Y Cf. A014556, A027753.

%K nonn

%O 1,3

%A _Patrick De Geest_