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Search: id:A103852
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| A103852 |
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Numbers n such that 2*P(n)+1, 2*P(n+1)+1 and 2*P(n+2)-1 are also consecutive primes with P(n+1)=P(n)+6 and P(n+2)=P(n+1)+2 with P(i)=i-th prime. |
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| 119, 372, 814, 4350, 9797, 16625, 16729, 48121, 63137, 71520, 83264, 103551, 111283, 113690, 232363, 268661, 302024, 333947, 340910, 352997, 381169, 404828, 414097
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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3 consecutive primes with gaps 6 and 2 give 3 consecutive prime with gaps 12 and 2, the 2 last primes are twins, the 2 first primes P(n) P(n+1) are Sophie Germain primes
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EXAMPLE
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P(119)=653, P(120)=659, P(121)=661, 653+6=659, 659+2=661 2*653+1=1307, 2*659+1=1319, 2*661-1=1321 1307, 1319, 1321 are consecutive primes so a(1)=119.
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CROSSREFS
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Cf. A103851.
Adjacent sequences: A103849 A103850 A103851 this_sequence A103853 A103854 A103855
Sequence in context: A134603 A134604 A063348 this_sequence A049226 A106572 A116485
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KEYWORD
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nonn
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AUTHOR
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Pierre CAMI (pierrecami(AT)tele2.fr), Feb 18 2005
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