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Search: id:A087379
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| A087379 |
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Beginning with 2, primes such that the difference between two successive terms is a distinct composite number. |
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+0
1
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| 2, 11, 17, 29, 37, 41, 59, 73, 83, 103, 127, 149, 179, 211, 227, 263, 307, 347, 373, 401, 439, 487, 521, 563, 613, 659, 719, 773, 829, 881, 947, 1009, 1087, 1151, 1223, 1291, 1361, 1447, 1523, 1597, 1693, 1777, 1867, 1949, 2029, 2087, 2179, 2267, 2371, 2473
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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The sequence of successive differences is given by the following distinct composite numbers 9,6,12,8,4,18,14,10,20,.... And trivially second term onwards only even composite numbers occur. Conjecture: Let a(m+1)-a(m) be composite (k). Then there exists a constant C such that m < C*k.
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FORMULA
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a(n) = n-th partial sum of A068632. - David Wasserman (wasserma(AT)spawar.navy.mil), May 24 2005
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CROSSREFS
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Sequence in context: A108894 A066794 A153222 this_sequence A019364 A164368 A104272
Adjacent sequences: A087376 A087377 A087378 this_sequence A087380 A087381 A087382
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 09 2003
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), May 24 2005
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