A178177 Numbers n such that n^4+5^4+3^4=n^4+706 is prime.

3, 23, 25, 47, 53, 67, 73, 89, 101, 103, 109, 117, 143, 145, 151, 157, 179, 187, 229, 273, 289, 297, 339, 375, 385, 395, 429, 455, 497, 521, 543, 557, 569, 619, 639, 649, 661, 703, 749, 759, 791, 795, 817, 821, 843, 889, 915, 961, 977, 1013, 1087, 1113, 1115, 1129, 1141, 1165, 1277, 1311, 1321, 1349, 1405, 1407, 1451, 1495, 1507, 1559, 1561, 1573, 1591, 1607, 1627, 1701, 1717, 1741, 1851, 1867, 1871, 1893, 1895, 1925, 1949, 1991

Offset

1,1

Comments

Sequence contains squares m^2 for m =

5,17,31,47,121,143,207,221,319,343,371,423,429,451,467,485,525,529,683,787,805,955,....

Links

Table of n, a(n) for n=1..82.

Mathematica

Select[Range[1, 2000, 2], PrimeQ[#^4+706]&]

Prog

(PARI) is(n)=isprime(n^4+706) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

Supersequence of A160022 (Primes p such that p^4+5^4+3^4 is prime).

Sequence in context: A298657 A299609 A238198 * A353003 A124076 A153834

Adjacent sequences: A178174 A178175 A178176 * A178178 A178179 A178180

Keyword

nonn

Author

Zak Seidov, Dec 18 2010

Status

approved