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A123061 Numbers k that divide 5^k - 3. 10
1, 2, 22, 77, 242, 371, 16102, 45727, 73447, 81286, 112277, 368237, 10191797, 13563742, 30958697, 389974222, 6171655457, 55606837682, 401469524477, 434715808966, 1729670231597, 12399384518278, 28370781933478, 32458602019394, 45360785149757, 1073804398767214 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Some larger terms: 10157607413638637338691, 678641208236297002873422185407157785099272404809011007522511134591325167. - Max Alekseyev, Oct 20 2016
LINKS
MATHEMATICA
Select[Range[1000000], IntegerQ[(PowerMod[5, #, # ]-3)/# ]&]
Do[If[IntegerQ[(PowerMod[5, n, n ]-3)/n], Print[n]], {n, 10^9}] (* Ryan Propper, Dec 30 2006 *)
PROG
(PARI) is(n)=Mod(5, n)^n==3 \\ Charles R Greathouse IV, Nov 04 2016
CROSSREFS
Solutions to 5^n == k (mod n): A067946 (k=1), A015951 (k=-1), A124246 (k=2), A123062 (k=-2), this sequence (k=3), A123052 (k=-3), A125949 (k=4), A123047 (k=-4), A123091 (k=5), A015891 (k=-5), A277350 (k=6), A277348 (k=-6).
Sequence in context: A348488 A226406 A226335 * A050853 A291915 A172229
KEYWORD
nonn
AUTHOR
Alexander Adamchuk, Nov 04 2006
EXTENSIONS
More terms from Farideh Firoozbakht, Nov 18 2006
Corrected and extended by Ryan Propper, Jan 01 2007
Entry revised by N. J. A. Sloane, Jan 24 2007
a(18) from Lars Blomberg, Dec 12 2011
a(19)-a(26) from Max Alekseyev, Oct 20 2016
STATUS
approved

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Last modified August 27 13:58 EDT 2024. Contains 375469 sequences. (Running on oeis4.)