A164967 Sequential primes built off of 1.

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

Offset

1,2

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

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 *)

Crossrefs

Cf. A074336.

Sequence in context: A016205 A083755 A113579 * A090505 A088096 A271069

Adjacent sequences: A164964 A164965 A164966 * A164968 A164969 A164970

Keyword

nonn,base

Author

Rajesh Bhowmick, Jan 14 2012

Extensions

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

Status

approved