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A257531 If 2^(n-1) mod n = 1, then 1 else 0. 3
0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

This first differs from A010051 (1 if n is prime, else 0) at the second term. The next position differing from A010051 is at the 341st term, and further divergences appear for odd pseudoprimes to base 2 (A001567).

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..68101

Index entries for characteristic functions

EXAMPLE

a(341) = 1 as 2^340 mod 341 is 1.

MAPLE

[0, seq(`if`(2 &^ (n-1) mod n = 1, 1, 0), n = 2..104)]; # Peter Luschny, Sep 19 2017

MATHEMATICA

f[n_] := If[PowerMod[2, n - 1, n] == 1, 1, 0]; Array[f, 105] (* Robert G. Wilson v, Apr 28 2015 *)

PROG

(PARI) A257531(n) = if(n==1, 0, if(Mod(2, n)^(n-1)==1, 1, 0)); \\ Antti Karttunen, Michel Marcus & Altug Alkan, Sep 13-20 2017

CROSSREFS

Characteristic function for A176997 (without its initial 1).

Cf. A001567, A010051, A062173.

Sequence in context: A072629 A164292 A337802 * A151763 A324908 A022925

Adjacent sequences:  A257528 A257529 A257530 * A257532 A257533 A257534

KEYWORD

nonn

AUTHOR

Gerald Hillier, Apr 28 2015

STATUS

approved

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Last modified July 25 02:57 EDT 2021. Contains 346282 sequences. (Running on oeis4.)