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A103811 Primes from merging of 3 successive digits in decimal expansion of the Golden Ratio, (1+sqrt(5))/2. 24
887, 683, 563, 811, 179, 227, 281, 449, 911, 113, 137, 521, 223, 353, 317, 179, 607, 263, 443, 433, 389, 659, 593, 829, 563, 383, 661, 613, 131, 199, 829, 269, 631, 313, 443, 149, 587, 701, 887, 547, 461, 569, 953, 449, 241, 443, 449, 947, 467, 509, 743 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Leading zeros are not permitted, so each term is 3 digits in length. - Harvey P. Dale, Oct 23 2011

REFERENCES

Mohammad K. Azarian, Problem 123, Missouri Journal of Mathematical Sciences, Vol. 10, No. 3, Fall 1998, p. 176. Solution published in Vol. 12, No. 1, Winter 2000, pp. 61-62.

LINKS

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

Eric Weisstein's World of Mathematics, The Golden Ratio.

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

MATHEMATICA

With[{len=3}, FromDigits/@Select[Partition[RealDigits[GoldenRatio, 10, 1000][[1]], len, 1], PrimeQ[FromDigits[#]] && IntegerLength[ FromDigits[#]] == len&]] (* Harvey P. Dale, Oct 23 2011 *)

CROSSREFS

Sequence in context: A261760 A031794 A020393 * A190354 A164513 A031938

Adjacent sequences:  A103808 A103809 A103810 * A103812 A103813 A103814

KEYWORD

nonn,base

AUTHOR

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

EXTENSIONS

Offset changed from 0 to 1 by Vincenzo Librandi, Apr 22 2013

STATUS

approved

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Last modified April 28 16:04 EDT 2017. Contains 285578 sequences.