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A236965 Number of nonzero quartic residues modulo the n-th prime. 0
1, 1, 1, 3, 5, 3, 4, 9, 11, 7, 15, 9, 10, 21, 23, 13, 29, 15, 33, 35, 18, 39, 41, 22, 24, 25, 51, 53, 27, 28, 63, 65, 34, 69, 37, 75, 39, 81, 83, 43, 89, 45, 95, 48, 49, 99, 105, 111, 113, 57, 58, 119, 60, 125, 64, 131, 67, 135, 69, 70, 141 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..61.

FORMULA

For odd primes, if prime(n)=4k+1 then a(n)=(prime(n)-1)/4, if prime(n)=4k+3 then a(n)=(prime(n)-1)/2.

EXAMPLE

a(5)=5 for x^4 (mod 11=prime(5)) equals 1, 3, 4, 5, 9.

CROSSREFS

Cf. A000040, A130290, A236959.

Sequence in context: A210606 A254327 A175999 * A259684 A214287 A010703

Adjacent sequences:  A236962 A236963 A236964 * A236966 A236967 A236968

KEYWORD

nonn

AUTHOR

Carmine Suriano, Apr 22 2014

STATUS

approved

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Last modified November 20 14:53 EST 2018. Contains 317402 sequences. (Running on oeis4.)