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Search: id:A033188
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| A033188 |
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Minimal difference of any increasing arithmetic progression of n primes. |
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+0 7
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| 0, 1, 2, 6, 6, 30, 150, 210, 210, 210, 2310, 2310, 30030, 30030, 30030, 30030, 510510, 510510
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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The entries shown have been proved to be correct.
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LINKS
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Jens Kruse Andersen, Status of minimal arithmetic progressions of primes
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Index entries for sequences related to primes in arithmetic progressions
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FORMULA
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David W. Wilson conjectures that a(n) = n# (n primorial, A034386) for n >= 8. If this is true then a(19) onwards are: 9699690, 9699690, 9699690, 9699690, 223092870, 223092870, 223092870, 223092870, 223092870, 223092870, 6469693230, 6469693230, ...
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CROSSREFS
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Cf. A033189 (initial terms), A113872 (last terms).
Adjacent sequences: A033185 A033186 A033187 this_sequence A033189 A033190 A033191
Sequence in context: A083907 A025552 A060114 this_sequence A093364 A113461 A061558
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KEYWORD
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nonn,hard
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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EXTENSIONS
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Entry revised Feb 02 2006 by njas, based on suggestions from Jens Kruse Andersen.
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