A215641 Smallest prime whose decimal expansion consists of the concatenation of a 1-digit prime, a 2-digit prime, a 3-digit prime, ..., and an n-digit prime.

2, 211, 211151, 2111011129, 211101100910009, 211101100910007100049, 2111011009100071000031000453, 211101100910007100003100000310000721, 211101100910007100003100000310000019100000543, 2111011009100071000031000003100000191000000071000000531

Offset

1,1

Comments

It is a plausible conjecture that a(n) always exists.

a(n) has A000217(n) = n*(n+1)/2 digits.

Links

Table of n, a(n) for n=1..10.

Example

a(4) = 2111011129, the smallest prime formed from a single-digit, a double-digit, a triple-digit, and a quadruple-digit prime, i.e., 2, 11, 101, 1129.

Crossrefs

Cf. A000040, A000217, A003617.

Subsequence of A195302.

Cf. A338968 (similar, with largest prime).

Sequence in context: A167839 A107612 A068814 * A195335 A090560 A181903

Adjacent sequences: A215638 A215639 A215640 * A215642 A215643 A215644

Keyword

nonn,base

Author

Jonathan Vos Post, Aug 18 2012

Extensions

Edited by N. J. A. Sloane, Aug 18 2012

Status

approved