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A154496
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a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(0)=3,a(1)=10.
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5
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3, 10, 27, 74, 3093, 3104, 3417, 3580, 3597, 3614, 5907, 5960, 6651, 6962, 9045, 9098, 10479, 10708, 13299, 13382, 14055, 14438, 15099, 16082, 16101, 16112, 16521, 16982, 17505, 19328, 19605, 20062, 22131, 22840, 23013, 23036, 23265, 23422
(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 : 10-3=7;10+3=13;10*3=30, ...
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MATHEMATICA
| a=3; b=10; 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, A154495
Sequence in context: A085948 A000471 A000501 * A027251 A127912 A005956
Adjacent sequences: A154493 A154494 A154495 * A154497 A154498 A154499
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KEYWORD
| nonn
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AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 10 2009
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