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A045323 Primes congruent to {1, 2, 3, 7} mod 8. 5
2, 3, 7, 11, 17, 19, 23, 31, 41, 43, 47, 59, 67, 71, 73, 79, 83, 89, 97, 103, 107, 113, 127, 131, 137, 139, 151, 163, 167, 179, 191, 193, 199, 211, 223, 227, 233, 239, 241, 251, 257, 263, 271, 281, 283, 307, 311 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Numbers x such that x^4 = 4 has a solution mod p.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

MATHEMATICA

Select[Prime[Range[300]], MemberQ[{1, 2, 3, 7}, Mod[#, 8]]&] (* Vincenzo Librandi, Aug 07 2012 *)

PROG

(MAGMA) [ p: p in PrimesUpTo(400) | p mod 8 in {1, 2, 3, 7} ]; // Vincenzo Librandi, Aug 07 2012

(Haskell)

a045323 n = a045323_list !! (n-1)

a045323_list = filter ((== 1). a010051) a004776_list

-- Reinhard Zumkeller, Aug 17 2012

CROSSREFS

Cf. A000040, A010051.

Subsequence of A004776; see also A007521.

Sequence in context: A100963 A197636 A040103 * A161185 A226993 A235482

Adjacent sequences:  A045320 A045321 A045322 * A045324 A045325 A045326

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 29 03:04 EST 2020. Contains 332353 sequences. (Running on oeis4.)