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Search: id:A113459
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| A113459 |
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Least number that begins an arithmetic progression of n numbers with the same prime signature. |
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+0
3
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| 1, 2, 3, 5, 5, 7, 7, 11, 11, 11, 11, 13
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Initial terms of arithmetic progressions described in A113460. - N. J. A. Sloane (njas(AT)research.att.com), Oct 18 2007
Conjecture: For n > 1, a(n) = A007918(n). - David Wasserman (dwasserm(AT)earthlink.net), Jan 08 2006
I disagree with that conjecture! Ignoring the initial terms, this will agree with A007918 up to some point and then (presumably) drop below A007918. The initial term in the arithmetic progression (of length n) must be >= n, but it is likely to be less than A007918(n) if n is large. - N. J. A. Sloane (njas(AT)research.att.com), Oct 18 2007
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LINKS
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Index entries for sequences related to primes in arithmetic progressions
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CROSSREFS
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Cf. A005115, A007918, A087309, A113460.
Cf. A113461, A127781, A007917, A061558.
Adjacent sequences: A113456 A113457 A113458 this_sequence A113460 A113461 A113462
Sequence in context: A114519 A126762 A082048 this_sequence A159477 A123318 A111060
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KEYWORD
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hard,more,nonn
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AUTHOR
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David Wasserman (dwasserm(AT)earthlink.net), Jan 08 2006
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Jul 01 2008 at the suggestion of R. J. Mathar.
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