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A164967 Sequential primes built off of 1. 1
1, 13, 137, 13711, 1371113, 137111329, 13711132937, 13711132937113, 13711132937113307, 13711132937113307401, 13711132937113307401463, 13711132937113307401463509, 13711132937113307401463509541, 13711132937113307401463509541701 (list; graph; refs; listen; history; text; internal format)
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 the 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 A023301

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

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Last modified November 22 06:43 EST 2014. Contains 249804 sequences.