A242479 Primes p such that, in base 17, p = the cumulative sum of the digit-mult(digit-sum(prime)) of each prime <= p.

105701, 160309, 927137, 927149, 964973, 2329081, 2329097, 2329549, 2384587, 3228733, 3237527, 3242851, 7338377, 7338431, 7338557, 7338719

Offset

1,1

Links

Table of n, a(n) for n=1..16.

Formula

The function digit-mult(n) multiplies all digits d of n, where d > 0. For example, digit-mult(1230) = 1 * 2 * 3 = 6. Therefore, in base 17, digit-mult(digit-sum(9999)) = digit-mult(22) = 2 * 2 = 4 (22 in base 17 = 36 in base 10).

Example

105701 = digit-mult(digit-sum(2)) + digit-mult(digit-sum(3)) + ... digit-mult(digit-sum(148CC)) = digit-mult(2) + digit-mult(3) + ... digit-mult(23) = 2 + 3 + ... 2*3. Note that 148CC and 23 in base 17 = 105701 and 37 in base 10.

Crossrefs

Cf. A240886.

Sequence in context: A353553 A025308 A025290 * A252775 A210410 A184649

Adjacent sequences: A242476 A242477 A242478 * A242480 A242481 A242482

Keyword

nonn,base

Author

Anthony Sand, May 16 2014

Status

approved