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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 Table of n, a(n) for n=1..26. 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 Cf. A050259, A130422, A277554, A116629. 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 Adjacent sequences: A123058 A123059 A123060 * A123062 A123063 A123064 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 4 01:40 EDT 2024. Contains 374905 sequences. (Running on oeis4.)