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A342644
Primes in A340180.
1
2, 2, 7, 23, 19, 43, 137, 139, 239, 283, 373, 491, 1019, 929, 2609, 2699, 1499, 4451, 3191, 4441, 5261, 3251, 6373, 7853, 8623, 9013, 6359, 10289, 9109, 6833, 7703, 13417, 19441, 15329, 19793, 9311, 16319, 13109, 12539, 23899, 26347, 10111, 11351, 19687, 27851, 13627, 34129, 18521, 27277, 35537
OFFSET
1,1
COMMENTS
Terms are listed in the order in which they appear in A340180, including repetitions.
Repeated terms include a(1) = a(2) = 2, a(55) = a(56) = 17333, and a(233) = a(319) = 1253761. Are there any others?
LINKS
FORMULA
a(n) = A340180(A342630(n)).
EXAMPLE
a(4) = A340180(A342630(4)) = A340180(14) = 23.
MAPLE
f:= proc(n) local s, k;
s:= numtheory:-sigma(n);
add(`if`(igcd(n, k)=1, s mod k, 0), k=1..n-1);
end proc:
select(isprime, map(f, [$1..1000]));
MATHEMATICA
Select[Array[Sum[Mod[DivisorSigma[1, #], k] Floor[1/GCD[k, #]], {k, # - 1}] &, 500], PrimeQ] (* Michael De Vlieger, Mar 17 2021 *)
CROSSREFS
Sequence in context: A156520 A307426 A343577 * A069101 A221648 A138802
KEYWORD
nonn
AUTHOR
J. M. Bergot and Robert Israel, Mar 17 2021
STATUS
approved