A154356 Primes of the form 25n^2-14n+2 for n >= 0.
2, 13, 557, 1129, 1901, 5417, 8761, 10733, 15277, 23593, 30137, 41453, 59341, 74857, 80429, 86201, 92173, 104717, 118061, 179437, 253613, 284729, 306473, 352361, 364333, 414221, 453737, 523597, 598457, 798521, 1068329, 1217933, 1285049
Offset: 1
Examples
a(8)=10733 corresponds to n=21, therefore 10733=(3*21-1)^2+(4*21-1)^2=62^2+83^2 (see second comment in A154357). - _Bruno Berselli_, Dec 14 2011
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Crossrefs
Cf. A154357.
Programs
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Magma
[ a: n in [0..400] | IsPrime(a) where a is 25*n^2-14*n+2];
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Mathematica
Join[{2},Select[Table[25n^2-14n+2,{n,500}],PrimeQ]] (* Harvey P. Dale, May 15 2011 *)
Extensions
Edited by Robert Hochberg, Jun 21 2010