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Search: id:A126113
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A126113 Primes p^4 + (p-1)^4 + (p + 1)^4 arising from A126112. +0
2
353, 7793, 45377, 2131937, 2782097, 23705153, 36393857, 142457633, 423617057, 780627473, 19243704833, 44507912417, 135498076577, 221043906737, 386218778417, 512825188193, 652841559233, 1150861306913, 1285043991857 (list; graph; listen)
OFFSET

1,1

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.

PROGRAM

(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: A056216 A101219 A134820 this_sequence A068684 A108375 A052479

Adjacent sequences: A126110 A126111 A126112 this_sequence A126114 A126115 A126116

KEYWORD

nonn

AUTHOR

Tomas Xordan (xordan.tom(AT)gmail.com), Mar 05 2007

EXTENSIONS

Edited and corrected by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 27 2007

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Last modified September 7 15:23 EDT 2008. Contains 143483 sequences.


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