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

1,1

Links

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

Example

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

Mathematica

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

Prog

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

Crossrefs

Cf. A000040, A125260, A246519, A246562.

Sequence in context: A298430 A262794 A230786 * A218187 A010093 A046381

Adjacent sequences: A253934 A253935 A253936 * A253938 A253939 A253940

Keyword

nonn

Author

K. D. Bajpai, Jan 19 2015

Status

approved