

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
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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. 6162.


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



