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Search: id:A154500
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| A154500 |
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Sum of any 3 consecutive numbers is prime and a(n+2)-(a(n+1)+a(n)) is prime, a(0)=3,a(1)=5. |
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3
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OFFSET
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1,1
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COMMENT
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3+5+11=19;11-(3+5)=3, 5+11+13=29;13-(5+11)=-3, 11+13+17=41;17-(11+13)=-7, 13+17+23=53;23-(13+17)=-7,...
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MATHEMATICA
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a=3; b=5; lst={a, b}; Do[c=Prime[n]; p1=c+a+b; p2=c-(a+b); If[PrimeQ[p1]&&PrimeQ[p2], AppendTo[lst, c]; a=b; b=c], {n, 5, 9!}]; lst
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CROSSREFS
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Cf. A154484, A154485, A154486, A154487, A154488, A154493, A154494, A154495, A154496, A062391, A154497, A154498
Sequence in context: A072539 A062391 A038951 this_sequence A020578 A153443 A066587
Adjacent sequences: A154497 A154498 A154499 this_sequence A154501 A154502 A154503
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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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