|
| |
|
|
A058934
|
|
Numbers n such that 2*5^n + 1 is prime
|
|
1
|
|
|
|
0, 1, 3, 13, 45, 105, 159, 297, 1443, 2977, 3699, 11709, 12357
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,3
|
|
|
COMMENTS
|
a(n) is odd for n>0. Next term > 17200. [Julián Aguirre, Apr 22 2011]
|
|
|
LINKS
|
Table of n, a(n) for n=1..13.
|
|
|
EXAMPLE
|
a(3)=13 and 1+2*5^13=2441406251 is prime.
|
|
|
MATHEMATICA
|
Select[Range[0, 16000], PrimeQ[2*5^#+1]&] (* Julián Aguirre, Apr 22 2011 *)
|
|
|
PROG
|
(Sage)
for n in range(16000):
...if is_prime(2*5^n+1):
...print(n)
## Julián Aguirre, Apr 22 2011
|
|
|
CROSSREFS
|
Cf. A003306 (2*3^n + 1 is prime), A120375 (2*5^n-1 is prime).
Sequence in context: A095863 A136520 A212416 * A141088 A187915 A115128
Adjacent sequences: A058931 A058932 A058933 * A058935 A058936 A058937
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Labos E. (labos(AT)ana.sote.hu), Jan 12 2001
|
|
|
EXTENSIONS
|
Edited by Joerg Arndt, Apr 22 2011.
Terms 1443,...,12357 from Julián Aguirre, Apr 22 2011.
|
|
|
STATUS
|
approved
|
| |
|
|