A138762 Average of twin primes k such that k = p1^3 + p2^2, where p1 and p2 are consecutive primes, and p1 < p2.

13008, 8861225070, 13000005000, 38318210940, 51451234488, 64352692512, 68484878220

Offset

1,1

Links

Table of n, a(n) for n=1..7.

Example

Numbers 13007 and 13009 are twin primes. Their average 13008 equals 23^3 + 29^2, where 23 and 29 are consecutive primes. Thus, 13008 is in this sequence. - Tanya Khovanova, Jul 21 2021

Mathematica

a={}; Do[p1=Prime[n]; p2=Prime[n+1]; pp=p1^3+p2^2; If[PrimeQ[pp-1]&&PrimeQ[pp+1], AppendTo[a, pp]], {n, 16^3}]; Print[a];

Crossrefs

Sequence in context: A190947 A203910 A354510 * A139777 A031633 A015327

Adjacent sequences: A138759 A138760 A138761 * A138763 A138764 A138765

Keyword

nonn,more

Author

Vladimir Joseph Stephan Orlovsky, May 15 2008

Status

approved