A126113 - OEIS

A126113

Primes p^4 + (p-1)^4 + (p + 1)^4 arising from A126112.

353, 7793, 45377, 2131937, 2782097, 23705153, 36393857, 142457633, 423617057, 780627473, 19243704833, 44507912417, 135498076577, 221043906737, 386218778417, 512825188193, 652841559233, 1150861306913, 1285043991857

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..19.

EXAMPLE

A126112(1) = 3 and (3-1)^4+3^4+(3+1)^4 = 2^4+3^4+4^4 = 16+81+256 = 353 is prime, hence a(1) = 353.

A126112(3) = 11 and (11-1)^4+11^4+(11+1)^4 = 10^4+11^4+12^4 = 10000 + 14641 + 20736 = 45377 is prime, hence a(3) = 45377.

PROG

(PARI) {forprime(p=2, 810, if(isprime(q=(p-1)^4+p^4+(p+1)^4), print1(q, ", ")))} /* Klaus Brockhaus, Mar 27 2007 */

CROSSREFS

Cf. A126657, A126769, A126112.

Sequence in context: A212238 A134820 A262205 * A282998 A213470 A068684

Adjacent sequences: A126110 A126111 A126112 * A126114 A126115 A126116

KEYWORD

nonn

AUTHOR

Tomas Xordan, Mar 05 2007

EXTENSIONS

Edited and corrected by Klaus Brockhaus, Mar 27 2007

STATUS

approved