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Search: id:A086786
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| A086786 |
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Triangle read by rows: n-th row is the smallest set of n numbers in arithmetic progression with the same prime signature. |
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+0
7
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| 1, 2, 3, 3, 5, 7, 5, 11, 17, 23, 5, 11, 17, 23, 29, 7, 37, 67, 97, 127, 157, 481, 485, 489, 493, 497, 501, 505, 635, 707, 779, 851, 923, 995, 1067, 1139, 635, 707, 779, 851, 923, 995, 1067, 1139, 1211, 199, 409, 619, 829, 1039, 1249, 1459, 1669, 1879, 2089, 3841
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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In this sequence "smallest" means that the last term of the arithmetic progression is minimized. A113460 minimizes the first term.
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LINKS
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Index entries for sequences related to primes in arithmetic progressions
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EXAMPLE
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Triangle begins:
1
2,3
3,5,7
5,11,17,23
5,11,17,23,29
7,37,67,97,127,157
481,485,489,493,497,501,505
635,707,779,851,923,995,1067,1139
635,707,779,851,923,995,1067,1139,1211
199,409,619,829,1039,1249,1459,1669,1879,2089
...
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CROSSREFS
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A087310 contains the corresponding common differences, A087308 the initial terms, A087309 the final terms.
Cf. A087308, A087309, A087310, A114660, A114663, A114670.
Adjacent sequences: A086783 A086784 A086785 this_sequence A086787 A086788 A086789
Sequence in context: A089934 A113460 A113470 this_sequence A047844 A081217 A053271
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KEYWORD
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nonn,tabl
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 02 2003
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EXTENSIONS
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Edited and extended by David Wasserman (dwasserm(AT) earthlink.net), Jan 08 2006
Further edits by njas, Oct 17 2007
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