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A154501 Sum of any 3 consecutive numbers is prime and a(n+2)-(a(n+1)+a(n)) is prime, a(0)=3,a(1)=11. +0
2
3, 11, 17, 31, 41, 59, 97, 113, 127, 139 (list; graph; listen)
OFFSET

1,1

COMMENT

3+11+17=31;17-(3+11)=3,...

MATHEMATICA

a=3; b=11; 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

CROSSREFS

Cf. A154484, A154485, A154486, A154487, A154488, A154493, A154494, A154495, A154496, A062391, A154497, A154498, A154500

Sequence in context: A154613 A109654 A038986 this_sequence A045432 A018520 A154933

Adjacent sequences: A154498 A154499 A154500 this_sequence A154502 A154503 A154504

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 10 2009

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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