A164967 Sequential primes built off of 1.

1, 13, 137, 13711, 1371113, 137111329, 13711132937, 13711132937113, 13711132937113307, 13711132937113307401, 13711132937113307401463, 13711132937113307401463509, 13711132937113307401463509541, 13711132937113307401463509541701

Offset: 1

Author

Rajesh Bhowmick, Jan 14 2012

Keywords

• nonn
• base

Comments

Begin with a 'seed' number, in this case a(1) = 1. Then a(n) is the concatenation of a(n-1) and some prime greater than any prime previously used to create a new prime number. Such a sequence is called a 'sequential prime' sequence.

Links

• Robert G. Wilson v, Table of n, a(n) for n = 1..100

Crossrefs

Cf. A074336.

Programs

Mathematica

p = 3; f[n_] := Block[{}, While[q = n*10^Floor[1 + Log10[p]] + p; !PrimeQ[q], p = NextPrime[p]]; p = NextPrime[p]; q]; NestList[f, 1, 14] (* Robert G. Wilson v, Jan 14 2012 *)

Extensions

Edited and extended by Robert G. Wilson v, Jan 14 2012