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A049563 a(n) = ((prime(n)-1)! + 1) mod (prime(n) + 2). 0
2, 3, 4, 1, 7, 1, 10, 1, 1, 16, 1, 1, 22, 1, 1, 1, 31, 1, 1, 37, 1, 1, 1, 1, 1, 52, 1, 55, 1, 1, 1, 1, 70, 1, 76, 1, 1, 1, 1, 1, 91, 1, 97, 1, 100, 1, 1, 1, 115, 1, 1, 121, 1, 1, 1, 1, 136, 1, 1, 142, 1, 1, 1, 157, 1, 1, 1, 1, 175, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 211, 1, 217, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Residue of (prime(n)-1)!+1 modulo prime(n)+2.

LINKS

Table of n, a(n) for n=1..88.

EXAMPLE

prime(3)=5, 4! + 1 = 25 gives residue 4 when divided by prime(3) + 2 = 7.

MATHEMATICA

Table[Mod[(Prime[k] - 1)! + 1, Prime[k] + 2], {k, 1, 200}]

PROG

(Sage) [Mod(factorial(p-1)+1, p+2) for p in primes(500)] # Bruno Berselli, Apr 10 2015

(MAGMA) [(Factorial(p-1)+1) mod (p+2): p in PrimesUpTo(500)]; // Bruno Berselli, Apr 10 2015

(PARI) a(n) = ((prime(n)-1)! + 1) % (prime(n) + 2); \\ Michel Marcus, May 28 2018

CROSSREFS

Sequence in context: A255690 A030104 A255590 * A198495 A084453 A097104

Adjacent sequences:  A049560 A049561 A049562 * A049564 A049565 A049566

KEYWORD

nonn

AUTHOR

Labos Elemer

STATUS

approved

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Last modified September 22 00:42 EDT 2020. Contains 337276 sequences. (Running on oeis4.)