A217410 Numbers of the form 3^r*7^s whose decimal representations are such that each digit 0-9 appears a prime number of times.

127194058437252046971768387, 13246352657250963177488450589, 1461157813024707015061910842923, 12415617112031938486785960616347, 147856680363717377959300292543841

Offset

1,1

Comments

See the formula section for more data, and the others in cross-reference for similar sequences and motivation.

Links

Table of n, a(n) for n=1..5.

Formula

a(n) = 3^A217411(n) * 7^A217412(n).

Example

A217411(1)=37 and A217412(1)=10, so this sequence's first term is (3^37)*(7^10).  It is the smallest number with exactly 3 and 7 as its prime factors to have decimal representation with each digit 0-9 counted a prime number of times. The digits 0, 2, 3, 5, 6 and 9 occur two times each; 1, 4 and 8 occur three times each; and 7 occurs five times.

Crossrefs

Cf. A216854, A217411, A217412, A217404, A217407, A217410, A217416, A217419, A217422, A217425, A217428, A217431.

Sequence in context: A214266 A175274 A095446 * A338956 A338952 A323535

Adjacent sequences: A217407 A217408 A217409 * A217411 A217412 A217413

Keyword

nonn,base,less

Author

James G. Merickel, Oct 02 2012

Status

approved