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 A273383 Numbers x = concat(a,b) such that a^b ends with the digits of x. 3
 387, 656, 856, 1616, 72343, 72347, 72896, 76929, 499499, 548096, 690496, 961216, 1963179, 2948736, 8241841, 9489809, 17426176, 36821221, 80760576, 92745289, 275690496, 314453125, 377763067, 411728896, 668376576, 813998599, 895225856, 964089209, 2431189707 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..29. EXAMPLE The last digits of 3^87 are ...853387, so 387 is a term. MATHEMATICA end[x_, y_, n_] := x>0 && y*Log[x] >= Log[n] && PowerMod[x, y, 10^ IntegerLength[ n]] == n; ok[n_] := Block[{p=1}, While[(p *= 10) < n && ! end[Floor[n/p], Mod[n, p], n]]; p < n]; Select[Range[10^5], ok] CROSSREFS Cf. A273382, A266817, A266818. Sequence in context: A230274 A230475 A116329 * A038659 A232777 A259695 Adjacent sequences: A273380 A273381 A273382 * A273384 A273385 A273386 KEYWORD nonn,base AUTHOR Giovanni Resta, Jun 06 2016 STATUS approved

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Last modified April 22 01:34 EDT 2024. Contains 371887 sequences. (Running on oeis4.)