

A215647


Smallest semiprime whose decimal expansion consists of the concatenation of a 1digit semiprime, a 2digit semiprime, a 3digit semiprime, ..., and an ndigit semiprime.


10



4, 415, 410111, 4101061003, 410106100310003, 410106100310001100001, 4101061003100011000011000057, 410106100310001100001100000110000051, 410106100310001100001100000110000001100000001
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OFFSET

1,1


COMMENTS

This is to A215641 as semiprimes A001358 are to primes A000040. It is a plausible conjecture that a(n) always exists.
If a(n) exists it has A000217(n) = n(n+1)/2 digits.


LINKS

Table of n, a(n) for n=1..9.


EXAMPLE

a(2) = 415 = 5 * 83 = concatenation of 4 and 15, where 4 is the semiprime 2^2 and 15 is the semiprime 3 * 5.
a(3) = 410111 = 13 * 31547 = the concatenation of 4, 10, and 111 where 4 = 2^2, 10 = 2 * 5, and 111 = 3 * 37.
a(5) = 410106100310003 = 76871 * 5334991093 = Concatenate(4,10,106,1003,10003).


CROSSREFS

Cf. A001358, A215641.
Sequence in context: A198709 A326209 A287965 * A228242 A036771 A201980
Adjacent sequences: A215644 A215645 A215646 * A215648 A215649 A215650


KEYWORD

nonn,base


AUTHOR

Jonathan Vos Post, Aug 19 2012


STATUS

approved



