The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.



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 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A114207 Smallest solution to 10^m == 1 (mod m) having the prime divisor A066364(n). 4


%S 3,111,13203,20439,1997001,22494039,116226009,761157,278522253,

%T 206613747,17677747557,835525881,12933400720959,228717562653,

%U 5465090439,13095850041,431138536893,4734551277,58199580096201,59875330325409,228520359,3003003,257494085001,1029221499627,136635497220969

%N Smallest solution to 10^m == 1 (mod m) having the prime divisor A066364(n).

%H Ray Chandler, <a href="/A114207/b114207.txt">Table of n, a(n) for n = 1..2060</a> (first 501 terms from Max Alekseyev)

%F a(n)=m(p), where p=A066364(n) and m(p)=lcm(p, ord_p(10), m(q)) with q going over all prime divisors of ord_p(10).

%e a(6)=m(5477)=22494039 since it is the smallest m such that 10^m == 1 (mod m) and 5477|m.

%o (PARI) { m(p) = my(f,l,q); f=factorint(p)[,1]; l=p; for(i=1,length(f),q=znorder(Mod(10,f[i])); l=lcm(l,q); l=lcm(l,m(q)) ); l }

%Y Cf. A066364.

%K nonn

%O 1,1

%A _Max Alekseyev_, Nov 17 2005

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 6 08:47 EST 2021. Contains 349563 sequences. (Running on oeis4.)