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A235983
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Numbers n of the form p^8 + 1 (for prime p) such that n^8 + 1 is also prime.
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2
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5764802, 146830437604322, 498311414318121122, 554786279519086052117762, 830149880552636599409282, 12628864335244989661982882, 33144490094099439467757602, 47203563969247823515902242, 179357590196404221918909122, 397370823547272766854136322, 2043714066708245412886790402, 139717795608648816763227344162
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OFFSET
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1,1
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COMMENTS
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All numbers are congruent to 2 mod 20.
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LINKS
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EXAMPLE
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33144490094099439467757602 = 1549^8 + 1 (1549 is prime) and 33144490094099439467757602^8 + 1 is prime, so 33144490094099439467757602 is a member of this sequence.
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MATHEMATICA
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Select[Prime[Range[600]]^8+1, PrimeQ[#^8+1]&] (* Harvey P. Dale, Dec 21 2014 *)
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PROG
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(Python)
import sympy
from sympy import isprime
{print(n**8+1) for n in range(10000) if isprime(n) if isprime((n**8+1)**8+1)}
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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