A218170 Smallest prime with power closest to having all digits n times, with one more of 1, 2, 4, 5, 7 or 8.

101723, 4697081, 1361471, 5772427, 18168923, 35514203, 562489981, 780433519, 1006447529, 228344981, 10187739647, 1951104049, 496920113, 2246645239, 2596274977, 10431345763, 2862382343

Offset

1,1

Comments

Like A218169 but with an extra copy, rather than one less copy, of some digit. The exponents here are 2, 3, 5, 6, 7, 8, 8, 9, 10, 12, 11, 13, 15, 15, 16, 16 and 18. A217368 holds the sequence for powers of composites -- necessarily -- with equal counts of all digits.

Links

Table of n, a(n) for n=1..17.

Example

Unlike the parallel sequence, with 2^29 being a digit shy of having exactly  one of each digit, the smallest prime to have a power with two copies of some digit and one of all others is 101723, whose square is 10347568729.

Crossrefs

Cf. A218169, A217368.

Sequence in context: A187642 A023077 A077760 * A153050 A203592 A106813

Adjacent sequences: A218167 A218168 A218169 * A218171 A218172 A218173

Keyword

nonn,base

Author

James G. Merickel, Oct 22 2012

Status

approved