

A218766


Composite numbers with both 10 and 10 as primitive root.


1



289, 841, 3721, 4913, 9409, 11881, 12769, 22201, 24389, 32761, 37249, 52441, 54289, 66049, 72361, 83521, 97969, 113569, 151321, 187489, 212521, 226981, 259081, 292681, 332929, 351649, 491401, 502681, 674041, 707281, 734449, 877969, 885481, 908209, 912673
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

The powers of primes from A007349.
Intersection of A002808, A167797 and A167806.


LINKS

Arkadiusz Wesolowski, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Primitive Root


EXAMPLE

12769 = 113^2 belongs to this sequence because 113 is in A007349.


MATHEMATICA

lst = {}; r = 912673; Do[If[PrimeQ[i] && MultiplicativeOrder[10, i] == MultiplicativeOrder[10, i] == i  1, n = 2; While[(p = i^n) <= r, AppendTo[lst, p]; n++]], {i, Floor@Sqrt[r]}]; Sort[lst]


CROSSREFS

Cf. A007349.
Sequence in context: A156572 A157990 A261111 * A188186 A112077 A152934
Adjacent sequences: A218763 A218764 A218765 * A218767 A218768 A218769


KEYWORD

nonn


AUTHOR

Arkadiusz Wesolowski, Nov 05 2012


STATUS

approved



