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A153443 Aurifeuillian primes of the form 2^k+1 4
3, 5, 11, 13, 17, 43, 241, 257, 331, 683, 2731, 5419, 43691, 61681, 65537, 174763, 2796203, 15790321, 18837001, 22366891, 715827883, 4278255361, 4562284561, 77158673929, 1133836730401, 2932031007403, 4363953127297 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Aurifeuillian primes are when existed as polynomial factor of x^k+1 for some k that after substitution x->2 we are received prime number.

LINKS

Table of n, a(n) for n=1..27.

EXAMPLE

a(3)=11 because for k=5 polynomial x^5+1=(x+1)(x^4-x^3+x^2-x+1) and substituting x->2 in (x^4-x^3+x^2-x+1) we have prime number 11.

CROSSREFS

A061442.

Sequence in context: A227011 A243627 A178604 * A211876 A066587 A047621

Adjacent sequences:  A153440 A153441 A153442 * A153444 A153445 A153446

KEYWORD

nonn

AUTHOR

Artur Jasinski, Dec 26 2008

STATUS

approved

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Last modified May 26 05:25 EDT 2019. Contains 323579 sequences. (Running on oeis4.)