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A237251
Primes p such that p*2^(p-1)-1 is prime.
0
2, 3, 5, 17, 257, 16487
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OFFSET
1,1
COMMENTS
The fifth Fermat prime, 65537, is not in the sequence: 65537*2^65536-1 is composite (per PFGW). -
Michael B. Porter
, Feb 11 2014
Also 65537*2^65536-1 is divisible by 16267 and 2058772459. -
Jeppe Stig Nielsen
, Jan 04 2020
LINKS
Table of n, a(n) for n=1..6.
PROG
(PARI) isok(p) = isprime(p) && isprime(p*2^(p-1) - 1); \\
Michel Marcus
, Feb 06 2014
CROSSREFS
Cf.
A019434
,
A092506
,
A230769
,
A236752
.
Sequence in context:
A347565
A265426
A099936
*
A275584
A092506
A275159
Adjacent sequences:
A237248
A237249
A237250
*
A237252
A237253
A237254
KEYWORD
nonn
,
more
,
hard
AUTHOR
Gerasimov Sergey
, Feb 05 2014
EXTENSIONS
a(5) from
Ralf Stephan
, Feb 03 2014
a(6) =
A230769
(26)+1 appended by
Jeppe Stig Nielsen
, Jan 04 2020
STATUS
approved