A253937 Primes p such that 4+p^7, 4+p^9 and 4+p^11 are also prime.

82609, 1032607, 1859479, 2158447, 4952173, 5009593, 5828353, 6779833, 11316859, 11370727, 12786157, 13872853, 14117053, 15082783, 15645697, 15935989, 16715623, 20102569, 21310603, 22106569, 22164253, 23674597, 26012953, 26325613, 29592919, 30086347, 30306637

Offset: 1

Author

K. D. Bajpai, Jan 19 2015

Keywords

• nonn

Examples

			a(1) = 82609:
4 + 82609^7 = 26253762656881427836948640304009173;
4 + 82609^9 = 179162157925737357103123335151825463343651893;
4 + 82609^11 = 1222646797417942588836172615268162579679296234658008213;
all four are prime.
		

Links

• K. D. Bajpai, Table of n, a(n) for n = 1..720

Crossrefs

Cf. A000040, A125260, A246519, A246562.

Programs

Mathematica

Select[Prime[Range[1, 2000000]], PrimeQ[4 + #^7] && PrimeQ[4 + #^9] && PrimeQ[4 + #^11] &]

PARI

forprime(p=1, 1e7, if(isprime(4+p^7) && isprime(4+p^9) && isprime(4+p^11), print1(p,", ")))