A104843 Primes from merging of 2 successive digits in decimal expansion of e.

71, 59, 23, 53, 47, 71, 13, 97, 47, 59, 67, 53, 47, 59, 71, 13, 17, 19, 59, 17, 41, 13, 59, 29, 43, 29, 29, 59, 73, 13, 23, 79, 43, 23, 29, 53, 31, 19, 19, 11, 73, 83, 41, 79, 89, 41, 67, 47, 61, 47, 41, 11, 53, 37, 23, 43, 37, 71, 53, 17, 61, 83, 61, 13, 31, 13, 83, 29, 97

Offset: 1

Author

Andrew G. West (WestA(AT)wlu.edu), Mar 27 2005

Keywords

• nonn
• base
• changed

Comments

Scan decimal expansion of e from left to right, recording any 2-digit primes seen. Overlaps are allowed in all the sequences in this family. - N. J. A. Sloane, Feb 05 2012

Leading zeros are not permitted, so each term is 2 digits in length. - Harvey P. Dale, Oct 23 2011

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000
• Eric Weisstein's World of Mathematics, e

Crossrefs

Cf. A001113, A073246 (the one-digit primes in e), A104844 - A104862.

Programs

Mathematica

With[{len=2},FromDigits/@Select[Partition[RealDigits[E,10,1000][[1]], len,1],PrimeQ[FromDigits[#]]&&IntegerLength[FromDigits[#]]==len&]] (* Harvey P. Dale, Oct 23 2011 *)

Extensions

Changed offset from 0 to 1 by Vincenzo Librandi, Apr 21 2013