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Search: id:A099728
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| A099728 |
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Least number B such that (A001359(n)-B^2)^2-B is also the lesser of larger twin primes, or 0 if no such B exists. |
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+0 2
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| 380, 14, 5, 5, 365, 8, 5, 5, 14, 20, 5, 20, 8, 65, 8, 95, 35, 8, 14, 65, 20, 65, 8, 17, 350, 188, 5, 104, 98, 68, 35, 17, 158, 35, 92, 50, 62, 5, 26, 8, 8, 68, 233, 110, 5, 50, 23, 23, 8, 65, 59, 35, 14, 23, 35, 20, 47, 140, 5, 50, 14, 5, 4, 4, 125, 386, 713, 23, 59, 44, 635, 98
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Conjecture: No term is zero.
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EXAMPLE
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a(3)=5. A001359(3)=11. 11 and 13 are twin primes. (11-5^2)^2-5=191. 191 and 193 are also twin primes.
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MAPLE
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a135 := [] : f := fopen("b001359.txt", READ) : while nops(a135) < 200 do l := fscanf(f, "%d %d") : if l = [] then break : else a135 := [op(a135), l[2]] : fi ; od : for n from 1 to nops(a135) do a := op(n, a135) : B := 0 : while true do srch := (a-B^2)^2-B ; if isprime(srch) and isprime(srch+2) and srch > a then printf("%d, ", B) ; break ; fi ; B := B+1 : od : od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 06 2007
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CROSSREFS
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Sequence in context: A133961 A133962 A027503 this_sequence A158597 A023910 A035845
Adjacent sequences: A099725 A099726 A099727 this_sequence A099729 A099730 A099731
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KEYWORD
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nonn
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AUTHOR
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Ray G. Opao (1260(AT)email.com), Nov 07 2004
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EXTENSIONS
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Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 06 2007
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