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”).

A274511
a(n) is the only number m such that 7^(2^m) + 1 is divisible by A273948(n).
0
1, 3, 7, 4, 7, 2, 10, 9, 6, 15, 11, 14, 3, 5, 11, 12, 8, 17, 19, 5, 7, 21, 21, 4, 34, 25, 5, 9, 6, 20, 32, 17, 31, 40
OFFSET
1,2
MATHEMATICA
t = Select[Prime@ Range[3, 10^7], IntegerQ@ Log2@ MultiplicativeOrder[7, #] &]; Table[SelectFirst[Range@ 100, Divisible[7^(2^#) + 1, t[[n]]] &], {n, Length@ t}] (* Michael De Vlieger, Jun 29 2016, after Arkadiusz Wesolowski at A273948 *)
PROG
(PARI) forstep(p=3, 10^15, 2, if(!Mod(p, 7)==0, if(isprime(p), o=znorder(Mod(7, p)); x=ispower(2*o); if(2^(x-1)==o, print1(x-2, ", ")))));
CROSSREFS
Cf. A273948.
Sequence in context: A305202 A340013 A192265 * A371332 A179706 A231325
KEYWORD
nonn,more
AUTHOR
STATUS
approved