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A103789 Primes from merging of 8 successive digits in decimal expansion of the Golden Ratio, (1+sqrt(5))/2. 31
65638117, 18939113, 40880753, 33862223, 63544333, 59395829, 26613199, 26788067, 20876689, 62629631, 87012203, 85098743, 12544877, 66478091, 87124007, 70575179, 10427621, 77111777, 17141011, 71410117, 66979873 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Leading zeros are not permitted, so each term is 8 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

The Golden Ratio as explained at MathWorld.com

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

MATHEMATICA

Select[Select[FromDigits/@Partition[RealDigits[N[GoldenRatio, 1000]][[1]], 8, 1], PrimeQ], IntegerLength[#]==8&] (* Harvey P. Dale, Dec 04 2010 *)

CROSSREFS

Sequence in context: A224590 A224597 A204498 * A184215 A151697 A138085

Adjacent sequences:  A103786 A103787 A103788 * A103790 A103791 A103792

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

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

STATUS

approved

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Last modified August 4 07:32 EDT 2020. Contains 336201 sequences. (Running on oeis4.)