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A195948
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Powers of 5 which have no zero in their decimal expansion.
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19
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1, 5, 25, 125, 625, 3125, 15625, 78125, 1953125, 9765625, 48828125, 762939453125, 3814697265625, 931322574615478515625, 116415321826934814453125, 34694469519536141888238489627838134765625
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OFFSET
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1,2
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COMMENTS
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Probably finite. Is 34694469519536141888238489627838134765625 the largest term?
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LINKS
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Table of n, a(n) for n=1..16.
C. Rivera, Puzzle 607. A zeroless Prime power, on primepuzzles.net, Sept. 24, 2011.
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FORMULA
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a(n) = 5^A008839(n).
A000351 intersect A052382.
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MATHEMATICA
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Select[5^Range[0, 60], DigitCount[#, 10, 0]==0&] (* Harvey P. Dale, Aug 30 2016 *)
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PROG
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(PARI) for( n=0, 9999, is_A052382(5^n) && print1(5^n, ", "))
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CROSSREFS
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Cf. A195943, A195944, A195945, A195946, A195908, A007377, A008839, A030700, A030701, A030702, A030703, A030704, A030705, A030706.
Sequence in context: A060391 A000351 A050735 * A083590 A097680 A069030
Adjacent sequences: A195945 A195946 A195947 * A195949 A195950 A195951
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KEYWORD
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nonn,base,fini
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AUTHOR
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M. F. Hasler, Sep 25 2011
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STATUS
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approved
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