A065396 Primes of the form p + k*(k+1) / 2, p prime and k > 0.

3, 5, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283

Offset: 1

Author

Reinhard Zumkeller, Nov 05 2001

Keywords

• nonn

Comments

a(2) = 11 = 5 + 3*(3+1) / 2.

Links

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

Crossrefs

A000040, A000217, A065376, A065397.

Programs

Mathematica

Module[{upto=300,trs},trs=Accumulate[Range[(Sqrt[1+8upto]-1)/2]];Select[ Flatten[ Table[p+trs,{p,Prime[Range[PrimePi[upto]]]}]],PrimeQ[#] && #<=upto&]]//Union (* Harvey P. Dale, Dec 16 2017 *)