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Search: id:A059305
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| A059305 |
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Pi(Mersenne(n)): index of n-th Mersenne prime. |
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+0
4
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| 2, 4, 11, 31, 1028, 12251, 43390, 105097565, 55890484045084135
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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.
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REFERENCES
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M. Deleglise and J. Rivat, Computing pi(x): the Meissel, Lehmer, Lagarias, Miller, Odlyzko method, Math. Comp., 65 (1996) 235-245
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LINKS
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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)
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FORMULA
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a(n) = A000720(A000668(n))
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EXAMPLE
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Element 2 = 4 because Mersenne2 = (2^3)-1 = 7; 7 is the 4th prime.
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CROSSREFS
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Cf. A000043 Mersenne exponents, A000668 Mersenne primes, A016027 Pi(mersenne exponents), A001348 Mersenne numbers.
Sequence in context: A123421 A123430 A086690 this_sequence A120848 A135339 A148170
Adjacent sequences: A059302 A059303 A059304 this_sequence A059306 A059307 A059308
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KEYWORD
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hard,nonn
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AUTHOR
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Reto Keiser (rkeiser(AT)ee.ethz.ch), Jan 25 2001
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EXTENSIONS
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Revised by Max Alekseyev (maxale(AT)gmail.com), Jul 20 2007
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