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A176133
Pythagorean primes p (primes of form 4*k + 1) such that 6*p -+ 1 are twin primes.
1
5, 17, 137, 313, 373, 397, 577, 593, 653, 773, 1033, 1117, 1433, 1613, 2137, 2153, 2293, 2333, 2677, 3257, 3413, 3593, 3673, 4153, 4217, 4597, 4657, 5197, 5693, 5717, 6373, 6673, 6857, 6997, 7297, 8377, 8573, 9277, 9413, 9433, 10357, 10973, 11813
OFFSET
1,1
LINKS
EXAMPLE
5 is a term since 5 = 4*1 + 1, and 6*5 - 1 = 29 and 6*5 + 1 = 31 are twin primes.
MATHEMATICA
lst={}; Do[If[PrimeQ[p=4*n+1]&&PrimeQ[6*p-1]&&PrimeQ[6*p+1], AppendTo[lst, p]], {n, 0, 8!}]; lst
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved