|
Search: id:A059305
|
|
|
| A059305 |
|
Pi(Mersenne(n)): index of n-th Mersenne prime. |
|
+0
3
|
|
| 2, 4, 11, 31, 1028, 12251, 43390, 105097565, 55890484045084135
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Similar to A016027, but gives the number of the n-th Mersenne prime (rather than the number of the prime exponent).
A subsequence of A007053 and A086690.
|
|
REFERENCES
|
M. Deleglise and J. Rivat, Computing pi(x): the Meissel, Lehmer, Lagarias, Miller, Odlyzko method, Math. Comp., 65 (1996) 235-245
|
|
LINKS
|
Andrew R. Booker, The Nth Prime Page
C. K. Caldwell, Mersenne Primes
Xavier Gourdon and Pascal Sebah, Counting primes
Tomas Oliveira e Silva, Tables of values of pi(x) and of pi2(x)
|
|
FORMULA
|
a(n) = A000720(A000668(n))
|
|
EXAMPLE
|
Element 2 = 4 because Mersenne2 = (2^3)-1 = 7; 7 is the 4th prime.
|
|
CROSSREFS
|
Cf. A000043 Mersenne exponents, A000668 Mersenne primes, A016027 Pi(mersenne exponents), A001348 Mersenne numbers.
Sequence in context: A123421 A123430 A086690 this_sequence A120848 A135339 A113774
Adjacent sequences: A059302 A059303 A059304 this_sequence A059306 A059307 A059308
|
|
KEYWORD
|
hard,nonn
|
|
AUTHOR
|
Reto Keiser (rkeiser(AT)ee.ethz.ch), Jan 25 2001
|
|
EXTENSIONS
|
Revised by Max Alekseyev (maxal(AT)cs.ucsd.edu), Jul 20 2007
|
|
|
Search completed in 0.002 seconds
|
