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 A195948 Powers of 5 which have no zero in their decimal expansion. 20
 1, 5, 25, 125, 625, 3125, 15625, 78125, 1953125, 9765625, 48828125, 762939453125, 3814697265625, 931322574615478515625, 116415321826934814453125, 34694469519536141888238489627838134765625 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Probably finite. Is 34694469519536141888238489627838134765625 the largest term? LINKS Table of n, a(n) for n=1..16. C. Rivera, Puzzle 607. A zeroless Prime power, on primepuzzles.net, Sept. 24, 2011. FORMULA a(n) = 5^A008839(n). A000351 intersect A052382. MATHEMATICA Select[5^Range[0, 60], DigitCount[#, 10, 0]==0&] (* Harvey P. Dale, Aug 30 2016 *) PROG (PARI) for( n=0, 9999, is_A052382(5^n) && print1(5^n, ", ")) CROSSREFS Cf. A195943, A195944, A195945, A195946, A195908, A007377, A008839, A030700, A030701, A030702, A030703, A030704, A030705, A030706. Sequence in context: A060391 A000351 A050735 * A083590 A361765 A097680 Adjacent sequences: A195945 A195946 A195947 * A195949 A195950 A195951 KEYWORD nonn,base AUTHOR M. F. Hasler, Sep 25 2011 EXTENSIONS Keyword:fini removed by Jianing Song, Jan 28 2023 as finiteness is only conjectured. STATUS approved

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Last modified November 30 18:31 EST 2023. Contains 367461 sequences. (Running on oeis4.)