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A226938
Primes p such that p^4 + p - 1, p^4 + p^2 - 1, p^4 + p^3 - 1 are also prime.
1
2, 3, 13, 43, 4909, 21283, 47417, 57301, 59951, 72647, 98713, 132623, 135841, 149101, 153371, 285463, 343489, 355519, 360823, 375101, 396997, 405901, 447197, 452377, 458797, 501173, 532379, 557153, 605947, 610199, 614071, 616079, 627901, 644051, 656141, 668417
OFFSET
1,1
LINKS
FORMULA
A226770(a^4(n) - 1) = 3.
MATHEMATICA
Select[Prime[Range[10000]], And@@PrimeQ[#1+{#2, #2^2, #2^3}]&[#^4-1, #]&] (* Peter J. C. Moses, Jul 05 2013 *)
Select[Prime[Range[60000]], AllTrue[#^4-1+#^Range[3], PrimeQ]&] (* Harvey P. Dale, Mar 26 2023 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Shevelev, Jul 05 2013
EXTENSIONS
More terms from Peter J. C. Moses
STATUS
approved