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A340741
Numbers k such that A340740(k) is prime.
2
7, 8, 9, 11, 12, 13, 15, 18, 19, 28, 31, 32, 34, 36, 44, 46, 47, 51, 52, 62, 64, 67, 69, 70, 73, 83, 88, 109, 110, 112, 128, 148, 153, 159, 189, 190, 192, 206, 212, 214, 222, 224, 226, 244, 245, 261, 267, 269, 280, 282, 283, 287, 300, 305, 312, 315, 319, 323, 366, 370, 378, 381, 388, 394, 404
OFFSET
1,1
LINKS
EXAMPLE
a(3) = 9 is a term because A340740(9) = 2 is prime.
MAPLE
f:= proc(n) local k;
add(`if`(igcd(k, n)=1, n mod k, 0), k=1..floor(n/2))
end proc:
select(t -> isprime(f(t)), [$1..1000]);
MATHEMATICA
A340741[n_] :=
Position[Table[
PrimeQ[Sum[
Mod[m, i]*Floor[1/GCD[i, m]], {i, Floor[(m - 1)/2]}]], {m, 1,
n}], True] // Flatten;
A340741[404] (* Robert P. P. McKone, Jan 19 2021 *)
PROG
(PARI) isok(n) = isprime(sum(k=1, n\2, if (gcd(k, n)==1, n%k))); \\ Michel Marcus, Jan 18 2021
CROSSREFS
KEYWORD
nonn
AUTHOR
J. M. Bergot and Robert Israel, Jan 18 2021
STATUS
approved