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A135701
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First differences of indices of A000043.
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0
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1, 1, 1, 2, 1, 1, 3, 7, 6, 4, 3, 67, 13, 96, 121, 11, 116, 128, 19, 594, 30, 131, 897, 181, 156, 2033, 3760, 2105, 1842, 6961, 41453, 7556, 28716, 9974, 108217, 3031, 256669, 402707, 452111
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| Also, first differences of A016027.
This sequence is related to the perfect numbers A000396 and the Mersenne primes A000668.
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LINKS
| A. Booker, The Nth Prime Page".
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FORMULA
| a(n) = index of A000043(n+1) - index of A000043(n) = Pi(A000043(n+1)) - Pi(A000043(n)) = A016027(n+1) - A016027(n).
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EXAMPLE
| a(16)=11 because A000043(16+1)=2281 is the 339 n-th prime, then A16027(16+1)=339 and A000043(16)=2203 is the 328 n-th prime, then A16027(16)=328 and we can write 339-328=11.
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CROSSREFS
| Cf. A000043, A016027, A000396, A000668.
Sequence in context: A025243 A144512 A159314 * A051467 A195805 A077385
Adjacent sequences: A135698 A135699 A135700 * A135702 A135703 A135704
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KEYWORD
| nonn
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AUTHOR
| Omar E. Pol (info(AT)polprimos.com), Mar 02 2008
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EXTENSIONS
| a(39) based on update to A016027 -Ken Takusagawa (kenta(AT)cs.stanford.edu), May 31 2011
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