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A178177
Numbers n such that n^4+5^4+3^4=n^4+706 is prime.
0
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,....
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
KEYWORD
nonn
AUTHOR
Zak Seidov, Dec 18 2010
STATUS
approved