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Search: id:A132170
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| A132170 |
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Primes of the form (3*x*y-y-6)/(3*x+1), where x=prime and y=prime. |
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+0
1
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| 7, 13, 37, 97, 109, 277, 313, 349, 613, 757, 937, 1429, 1609, 1693, 1873, 2269, 2293, 2377, 2689, 2797, 3457, 3673, 3697, 3847, 3919
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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x=p(i)=i-th prime and y=p(j)=j-th prime.
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EXAMPLE
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If x=2 and y=11, then (3*2*11-11-6)/(3*2+1)=49/7=7=a(1).
If x=3 and y=17, then (3*3*17-17-6)/(3*3+1)=130/10=13=a(2).
If x=7 and y=41, then (3*7*41-41-6)/(3*7+1)=814/22=37=a(3).
If x=17 and y=101, then (3*17*101-101-6)/(3*17+1)=5044/52=97=a(4).
If x=19 and y=113, then (3*19*113-113-6)/(3*19+1)=6322/58=109=a(5).
If x=47 and y=281, then (3*47*281-281-6)/(3*47+1)=39334/142=277=a(6),
etc.
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CROSSREFS
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Cf. A000040.
Sequence in context: A094069 A052378 A090607 this_sequence A144729 A123250 A062591
Adjacent sequences: A132167 A132168 A132169 this_sequence A132171 A132172 A132173
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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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