A269786 Primes p such that 2*p + 31 is a square.
97, 349, 997, 1609, 2797, 3769, 6829, 7549, 10789, 11689, 13597, 15649, 16729, 22669, 28069, 32497, 40597, 44089, 49597, 59497, 63709, 70297, 74869, 86929, 89449, 94597, 113749, 122497, 128509, 144169, 147409, 153997, 164149, 181789, 196549, 200329, 207997
Offset: 1
Keywords
Programs
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Magma
[p: p in PrimesUpTo(300000) | IsSquare(2*p+31)];
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Mathematica
Select[Prime[Range[25000]], IntegerQ[Sqrt[2 # + 31]] &]
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PARI
lista(nn) = forprime(p=2, nn, if (issquare(2*p+31), print1(p, ", "))); \\ Michel Marcus, Mar 22 2016
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Python
from gmpy2 import is_prime,is_square for p in range(3,10**6,2): if(not is_square(2*p+31)):continue elif(is_prime(p)):print(p) # Soumil Mandal, Apr 07 2016
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