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A114207 Smallest solution to 10^m == 1 (mod m) having the prime divisor A066364(n). 4
3, 111, 13203, 20439, 1997001, 22494039, 116226009, 761157, 278522253, 206613747, 17677747557, 835525881, 12933400720959, 228717562653, 5465090439, 13095850041, 431138536893, 4734551277, 58199580096201, 59875330325409, 228520359, 3003003, 257494085001, 1029221499627, 136635497220969 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Ray Chandler, Table of n, a(n) for n = 1..2060 (first 501 terms from Max Alekseyev)

FORMULA

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).

EXAMPLE

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

PROG

(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 }

CROSSREFS

Cf. A066364.

Sequence in context: A180765 A232769 A066138 * A128684 A292336 A037116

Adjacent sequences:  A114204 A114205 A114206 * A114208 A114209 A114210

KEYWORD

nonn

AUTHOR

Max Alekseyev, Nov 17 2005

STATUS

approved

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Last modified October 22 22:34 EDT 2019. Contains 328335 sequences. (Running on oeis4.)