login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A257660
Numbers n such that 13^phi(n) == 1 (mod n^2), where phi(n) = A000010(n).
1
2, 863, 1726, 3452, 371953, 743906, 1487812, 1747591, 1859765, 2975624, 3495182, 3719530, 5242773, 6990364, 7439060, 8737955, 10485546, 14878120, 15993979, 17475910, 20971092, 26213865, 29756240, 31987958, 34951820, 41942184, 47981937, 52427730, 59512480
OFFSET
1,1
COMMENTS
The subsequence of primes in this sequence is A128667.
LINKS
Giovanni Resta, Table of n, a(n) for n = 1..140 (terms < 3*10^11)
MATHEMATICA
Select[Range@ 1000000, Mod[13^EulerPhi[#], #^2] == 1 &] (* Michael De Vlieger, Jul 27 2015 *)
PROG
(PARI) for(n=2, 1e9, if(Mod(13, n^2)^(eulerphi(n))==1, print1(n, ", ")))
KEYWORD
nonn
AUTHOR
Felix Fröhlich, Jul 26 2015
STATUS
approved