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A154495 a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(0)=2,a(1)=9. 6
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; text; internal format)
OFFSET

1,1

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, ...

LINKS

Table of n, a(n) for n=1..43.

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

CROSSREFS

Cf. A154484, A154485, A154486, A154487, A154488, A154493, A154494

Sequence in context: A047883 A042915 A007115 * A248121 A014107 A173102

Adjacent sequences:  A154492 A154493 A154494 * A154496 A154497 A154498

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jan 10 2009

STATUS

approved

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Last modified May 25 01:35 EDT 2019. Contains 323534 sequences. (Running on oeis4.)