A103773 Primes from merging of 9 successive digits in decimal expansion of the Golden Ratio, (1+sqrt(5))/2.

398874989, 752126633, 250171169, 222104321, 626296313, 381497587, 587012203, 408058879, 410443207, 104432077, 850987433, 433944221, 798731761, 523689427, 287856997, 165339247, 115881863, 993432359, 509040947, 116456299, 602017279, 471753427, 827505131, 248093947

Offset

1,1

Comments

Leading zeros are not permitted, so each term is 9 digits in length. - Harvey P. Dale, Oct 23 2011

Presumably all 45086079 possible terms eventually occur, probably in the first billion terms or so. - Charles R Greathouse IV, Sep 25 2012

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Golden Ratio.

Expansion of the Golden Ratio done to 20,000 digits as part of project Gutenberg.

Mathematica

Select[FromDigits/@Partition[RealDigits[GoldenRatio, 10, 2000][[1]], 9, 1], IntegerLength[#]==9&&PrimeQ[#]&] (* Harvey P. Dale, Mar 19 2011 *)

Crossrefs

Cf. A001622.

Sequence in context: A271022 A015369 A321138 * A172602 A108212 A103124

Adjacent sequences: A103770 A103771 A103772 * A103774 A103775 A103776

Keyword

nonn,base

Author

Andrew G. West (WestA(AT)wlu.edu), Mar 29 2005

Extensions

Broken URL to Project Gutenberg replaced by Georg Fischer, Jan 03 2009

Extended by Harvey P. Dale, Mar 19 2011

Status

approved