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Search: id:A141555
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| A141555 |
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Primes of form (c(p(n))+p(c(n))), where c(n)=n-th composite and p(n)=n-th prime. |
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+0
1
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| 13, 29, 37, 59, 127, 137, 151, 163, 227, 263, 271, 337, 467, 563, 683, 701, 727, 809, 941, 967, 1069, 1187, 1213, 1279, 1607, 1867, 1901, 1913, 1993, 2099, 2137, 2473, 2791, 2819, 2927, 3049, 3359, 3571, 3761, 3823, 4027, 4093, 4297, 4643, 4721, 4831
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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If n=1, c(1)=4, p(1)=2, then c(2)+p(4)=6+7=13=a(1).
If n=2, c(2)=6, p(2)=3, then c(3)+p(6)=8+13=21 (nonprime).
If n=3, c(3)=8, p(3)=5, then c(5)+p(8)=10+19=29=a(2).
If n=4, c(4)=9, p(4)=7, then c(7)+p(9)=14+23=37=a(3).
If n=5, c(5)=10, p(5)=11, then c(11)+p(10)=20+29=49 (nonprime).
If n=6, c(6)=12, p(6)=13, then c(13)+p(12)=22+37=59=a(4).
If n=12, c(12)=21, p(12)=37, then c(37)+p(21)=54+73=127=a(5).
If n=13, c(13)=22, p(13)=41, then c(41)+p(22)=58+79=137=a(6).
If n=14, c(14)=24, p(14)=43, then c(43)+p(24)=62+89=151=a(7).
If n=15, c(15)=25, p(15)=47, then c(47)+p(25)=66+97=163=a(8), etc.
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CROSSREFS
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Cf. A000040, A002808.
Sequence in context: A088909 A096451 A090690 this_sequence A036974 A045472 A141293
Adjacent sequences: A141552 A141553 A141554 this_sequence A141556 A141557 A141558
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KEYWORD
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nonn
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AUTHOR
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Juri-Stepan Gerasimov (2stepan(AT)rambler.ru) Aug 14 2008
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EXTENSIONS
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Edited and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 19 2008
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