A255729 Distinct-digit numbers that are the concatenation of m and prime(m) for some number m.

12, 23, 35, 47, 613, 819, 923, 1029, 1237, 1547, 1653, 1759, 1967, 2071, 2173, 2489, 2597, 27103, 28107, 35149, 39167, 40173, 45197, 53241, 57269, 58271, 60281, 61283, 69347, 70349, 72359, 79401, 85439, 89461, 90463, 91467, 93487, 96503, 98521, 104569, 108593

Offset: 1

Author

Zak Seidov, Mar 25 2015

Keywords

• nonn
• base
• fini
• full

Comments

The sequence is complete, and the last term is a(101)=310628549 with m=3106 and prime(m)=28549.

Links

• Zak Seidov, Table of n, a(n) for n = 1..101

Crossrefs

A255596 is a subsequence.

Programs

Mathematica

Select[FromDigits[IntegerDigits@ #~Join~IntegerDigits[Prime[#]]] & /@
Range@ 3106, Max@ DigitCount@ # == 1 &] (* Michael De Vlieger, Mar 25 2015 *)