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A218170
Smallest prime with power closest to having all digits n times, with one more of 1, 2, 4, 5, 7 or 8.
1
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.
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
Sequence in context: A187642 A023077 A077760 * A153050 A203592 A106813
KEYWORD
nonn,base
AUTHOR
James G. Merickel, Oct 22 2012
STATUS
approved