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 A154494 a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(0)=1,a(1)=6. 7
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 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 : 6-1=5;6+1=7;6*1=6, 17-6=11;17+6=23;17*6=102, ... LINKS MATHEMATICA 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 CROSSREFS Cf. A154484, A154485, A154486, A154487, A154488, A154493 Sequence in context: A047156 A128243 A219294 * A130278 A024080 A099436 Adjacent sequences:  A154491 A154492 A154493 * A154495 A154496 A154497 KEYWORD nonn AUTHOR Vladimir Joseph Stephan Orlovsky, Jan 10 2009 STATUS approved

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Last modified May 19 17:48 EDT 2019. Contains 323395 sequences. (Running on oeis4.)