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A243979
Indices of Wagstaff primes.
0
2, 5, 14, 124, 399, 4552, 15898, 203095, 37029521, 105973558438, 19140185454656173, 3827634977577891833517
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OFFSET
1,1
LINKS
Table of n, a(n) for n=1..12.
Andrew R. Booker,
The Nth Prime Page
.
Chris K. Caldwell,
Wagstaff
, The Top Twenty, The PrimePages.
Xavier Gourdon and Pascal Sebah,
Counting primes
.
Tomás Oliveira e Silva,
Tables of values of pi(x) and of pi2(x)
.
Samuel S. Wagstaff, Jr.,
The Cunningham Project
.
Kim Walisch,
Fast C++ prime counting function implementation (primecount)
.
Wikipedia,
Wagstaff prime
.
FORMULA
a(n) =
A000720
(
A000979
(n)).
A000040
(a(n)) =
A000979
(n).
EXAMPLE
For n = 3 the third Wagstaff prime is
A000979
(3) = 43 and 43 is also the 14th prime number, so a(3) = 14.
PROG
(PARI) default(primelimit, 10^9); forprime(p=3, 31, q=(2^p+1)/3; if(isprime(q), print1(primepi(q)", "))) \\
Jens Kruse Andersen
, Jun 22 2014
CROSSREFS
Cf.
A000040
,
A000720
,
A000978
,
A000979
,
A059305
,
A123176
,
A126614
,
A194810
.
Sequence in context:
A214374
A284661
A097595
*
A081483
A118478
A179675
Adjacent sequences:
A243976
A243977
A243978
*
A243980
A243981
A243982
KEYWORD
nonn
,
hard
,
more
AUTHOR
Omar E. Pol
, Jun 18 2014
EXTENSIONS
a(11) from
Jens Kruse Andersen
, Jun 22 2014
a(12) calculated using Kim Walisch's primecount and added by
Amiram Eldar
, Sep 05 2024
STATUS
approved