A180263 Odd k such that (k^2 + 1)/2 is not prime.

1, 7, 13, 17, 21, 23, 27, 31, 33, 37, 41, 43, 47, 53, 55, 57, 63, 67, 73, 75, 77, 81, 83, 87, 89, 91, 93, 97, 99, 103, 105, 107, 109, 111, 113, 115, 117, 119, 123, 125, 127, 129, 133, 135, 137, 143, 147, 149, 151, 153, 155, 157, 161, 163, 167, 173, 177, 179, 183, 185

Offset

1,2

Links

Harvey P. Dale, Table of n, a(n) for n = 1..2000

Example

a(2)=7: (7^2 + 1)/2 = 25, which is not prime, so 7 is in the sequence.
(9^2 + 1)/2 = 41, which is prime, so 9 is not in the sequence.

Mathematica

a={}; For[i=1, i<100, i=i+2, If[PrimeQ[(i^2+1)/2], 0, AppendTo[a, i]]]Print[a]
Select[Range[1, 201, 2], !PrimeQ[(#^2+1)/2]&] (* Harvey P. Dale, Jan 07 2016 *)

Prog

(Magma) [ n: n in [1..200 by 2] | not IsPrime((n^2+1) div 2) ];
(PARI) isok(n) = (n%2) && !isprime((n^2 + 1)/2); \\ Michel Marcus, Nov 23 2018

Crossrefs

Cf. A027862 (primes of the form (n^2+1)/2).

Sequence in context: A276045 A230039 A226138 * A002733 A108334 A288713

Adjacent sequences: A180260 A180261 A180262 * A180264 A180265 A180266

Keyword

nonn

Author

Alex Meiburg, Aug 21 2010

Extensions

More terms from Vincenzo Librandi, Nov 18 2010

Example clarified by Harvey P. Dale, Jan 07 2016

Status

approved