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A153413 Smaller of twin prime pairs such that p1*p2+average_of_twin_prime_pair=prime. 1
3, 5, 29, 59, 137, 179, 239, 419, 617, 1049, 1607, 1697, 1787, 2267, 2309, 2729, 3257, 3389, 3527, 3767, 4157, 4217, 4337, 4799, 5639, 5867, 6659, 6689, 6869, 6959, 7487, 7547, 7589, 8537, 8627, 8969, 9629, 9857, 9929, 10457, 11117, 11969, 12539, 13337 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

3*5+4=19 prime, 5*7+6=41 prime, 29*31+30=929 prime, ...

LINKS

Table of n, a(n) for n=1..44.

MATHEMATICA

lst={}; Do[p1=Prime[n]; p2=Prime[n+1]; If[p2-p1==2, a=p1*p2+(p1+1); If[PrimeQ[a], AppendTo[lst, p1]]], {n, 7!}]; lst

CROSSREFS

Cf. A099349, A153374, A153375, A153376, A153377, A153378, A153379, A153406, A153407, A153408, A153409, A153410

Sequence in context: A106089 A303971 A136085 * A257718 A132281 A048637

Adjacent sequences:  A153410 A153411 A153412 * A153414 A153415 A153416

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Dec 25 2008

STATUS

approved

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Last modified December 1 08:44 EST 2021. Contains 349426 sequences. (Running on oeis4.)