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A154495
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a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(0)=2,a(1)=9.
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6
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2, 9, 20, 33, 40, 141, 298, 435, 536, 687, 884, 1197, 1244, 1665, 1792, 2235, 2486, 2595, 2602, 3765, 3784, 4095, 4148, 4605, 4868, 5061, 5330, 6159, 6220, 6579, 6662, 7119, 7162, 7341, 8288, 10791, 11438, 11859, 12142, 12825, 13274, 14553, 14734
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Sum and difference of any of two consecutive numbers in current sequence are prime numbers and multiplication and any two consecutive numbers is Average of twin prime pairs : 9-2=7;9+2=11;9*2=18, ...
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MATHEMATICA
| a=2; b=9; lst={a, b}; Do[If[PrimeQ[n-b]&&PrimeQ[n+b]&&PrimeQ[n*b-1]&&PrimeQ[n*b+1], AppendTo[lst, n]; a=b; b=n], {n, b+1, 9!}]; lst
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CROSSREFS
| Cf. A154484, A154485, A154486, A154487, A154488, A154493, A154494
Sequence in context: A047883 A042915 A007115 * A014107 A173102 A090398
Adjacent sequences: A154492 A154493 A154494 * A154496 A154497 A154498
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KEYWORD
| nonn
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AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 10 2009
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