A195948 Powers of 5 which have no zero in their decimal expansion.

1, 5, 25, 125, 625, 3125, 15625, 78125, 1953125, 9765625, 48828125, 762939453125, 3814697265625, 931322574615478515625, 116415321826934814453125, 34694469519536141888238489627838134765625

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 A370546

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