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A252279 Primes p congruent to 1 mod 16 such that x^8 = 2 has a solution mod p. 0
257, 337, 881, 1217, 1249, 1553, 1777, 2113, 2593, 2657, 2833, 4049, 4177, 4273, 4481, 4513, 4721, 4993, 5297, 6353, 6449, 6481, 6529, 6689, 7121, 7489, 8081, 8609, 9137, 9281, 9649, 10177, 10337, 10369, 10433, 10657, 11329, 11617, 11633, 12049, 12241, 12577 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For a prime p congruent to 1 mod 16, the number 2 is an octavic residue mod p if and only if there are integers x and y such that x^2 + 256*y^2 = p.

LINKS

Table of n, a(n) for n=1..42.

Index entries for related sequences

CROSSREFS

Subsequence of A045315.

Sequence in context: A062382 A289560 A256776 * A105345 A060261 A264348

Adjacent sequences:  A252276 A252277 A252278 * A252280 A252281 A252282

KEYWORD

nonn

AUTHOR

Arkadiusz Wesolowski, Dec 16 2014

STATUS

approved

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Last modified January 20 10:23 EST 2018. Contains 297960 sequences.