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A292771 If sigma(n)-phi(n) is even then (sigma(n)-phi(n))/2 otherwise -1. 2
0, 1, 1, -1, 1, 5, 1, -1, -1, 7, 1, 12, 1, 9, 8, -1, 1, -1, 1, 17, 10, 13, 1, 26, -1, 15, 11, 22, 1, 32, 1, -1, 14, 19, 12, -1, 1, 21, 16, 37, 1, 42, 1, 32, 27, 25, 1, 54, -1, -1, 20, 37, 1, 51, 16, 48, 22, 31, 1, 76, 1, 33, 34, -1, 18, 62, 1, 47, 26, 60, 1, -1, 1, 39, 42, 52, 18, 72, 1, 77, -1, 43, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

a(n) = 1 if and only if n is prime. - Robert Israel, Sep 28 2017

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

MAPLE

f:= proc(n) local v;

   v:= numtheory:-sigma(n)-numtheory:-phi(n);

   if v::even then v/2 else -1 fi

end proc:

map(f, [$1..100]); # Robert Israel, Sep 28 2017

CROSSREFS

Cf. A051612, A000010, A000203, A292770.

Sequence in context: A028235 A028236 A066504 * A322837 A168677 A140210

Adjacent sequences:  A292768 A292769 A292770 * A292772 A292773 A292774

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Sep 28 2017

STATUS

approved

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Last modified March 30 22:55 EDT 2020. Contains 333132 sequences. (Running on oeis4.)