|
|
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
|
Take an irreducible real factor of x^k+1 and substitute x=2. If the result is a prime then it belongs in this sequence. For example for k=5 the 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 get the prime number 11. So 11 is a term. [Clarified by N. J. A. Sloane, Jul 03 2020]
|
|
LINKS
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|