A121089 Numbers n such that f(n), f(n+1) and f(n+2) are prime, f(m)=72*m^2+7.

9, 24, 169, 1479, 2964, 3039, 3299, 4084, 4474, 5534, 5574, 6449, 7359, 7409, 7529, 10789, 10879, 10994, 13819, 14324, 18574, 19709, 20329, 20749, 22179, 24529, 25089, 25104, 25229, 25404, 27714, 27779, 29849, 30234, 32369, 33384, 34799

Offset: 1

Author

Zak Seidov, Aug 11 2006

Keywords

• nonn

Comments

Apparently there are no four subsequent numbers m with f(m) prime.

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A007522, A121068.

Programs

Mathematica

Reap[Do[If[PrimeQ[72*n^2+7]&&PrimeQ[72*(n+1)^2+7]&&PrimeQ[72*(n+2)^2+7],Sow[n]],{n,0,300000}]][[2,1]]
Flatten[Position[Partition[Table[PrimeQ[72n^2+7],{n,35000}],3,1],{True,True,True}]] (* Harvey P. Dale, Aug 17 2014 *)