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
Offset: 1
Keywords
Examples
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.
Programs
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PARI
{forprime(p=2,810,if(isprime(q=(p-1)^4+p^4+(p+1)^4),print1(q,",")))} /* Klaus Brockhaus, Mar 27 2007 */
Extensions
Edited and corrected by Klaus Brockhaus, Mar 27 2007