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Search: id:A141438
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| A141438 |
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Primes of the form ((3*x*y-y-6)/(3*x+1), where x=composite and y=prime. |
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1
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| 19, 43, 67, 79, 127, 163, 193, 223, 229, 307, 379, 439, 457, 463, 487, 499, 643, 673, 739, 769, 823, 853, 859, 877, 883, 907, 967, 1009, 1087, 1093, 1213, 1279, 1297, 1303, 1423, 1447, 1483, 1489, 1549, 1567, 1579, 1597, 1663, 1783, 1867, 1993, 1999, 2083
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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x=c(i)=i-th composite and y=p(j)=j-th prime.
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EXAMPLE
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If x=4 and y=23, then ((3*4*23-23-6)/(3*4+1)=247/13=19=a(1).
If x=8 and y=47, then ((3*8*47-47-6)/(3*8+1)=1075/25=43=a(2).
If x=12 and y=71, then ((3*12*71-71-6)/(3*12+1)=2479/37=67=a(3).
If x=14 and y=83, then ((3*14*83-83-6)/(3*14+1)=3397/43=79=a(4).
If x=18 and y=107, then ((3*18*107-107-6)/(3*18+1)=5665/55=103=a(5).
If x=22 and y=131, then ((3*22*131-131-6)/(3*22+1)=8509/67=127=a(6),
etc.
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CROSSREFS
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Cf. A002808, A000040.
Sequence in context: A095079 A087779 A106950 this_sequence A095103 A094843 A094845
Adjacent sequences: A141435 A141436 A141437 this_sequence A141439 A141440 A141441
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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 28 2008
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