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Search: id:A154494
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| A154494 |
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a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(0)=1,a(1)=6. |
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+0
8
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| 1, 6, 17, 84, 247, 300, 341, 720, 767, 834, 913, 960, 989, 1590, 1741, 2772, 2945, 3102, 3451, 3540, 3563, 4020, 4159, 4812, 5431, 5700, 6131, 6192, 6245, 8586, 9373, 10056, 10163, 10314, 10543, 10944, 11033, 11844, 12055, 13566, 14015, 15048, 15155
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OFFSET
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1,2
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COMMENT
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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 : 6-1=5;6+1=7;6*1=6, 17-6=11;17+6=23;17*6=102, ...
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MATHEMATICA
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a=1; b=6; 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
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Cf. A154484, A154485, A154486, A154487, A154488, A154493
Sequence in context: A006758 A123189 A047156 this_sequence A130278 A024080 A099436
Adjacent sequences: A154491 A154492 A154493 this_sequence A154495 A154496 A154497
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 10 2009
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