The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A139777 Average of twin primes p4 = p1^3 + p2^2 such that p1 < p2 are consecutive primes and p3 = p1^2 + p2^3 is also an average of twin primes. 4
 13008, 9268057799643918, 1151303780719281840798, 1166398496059056623580, 1408815704665167877050, 1611023943160530038112, 1839284737645145603808, 1876391173984974899670, 2541672151459722294708, 3760269231809150191932, 13232137801909374644760, 19086525662779517405622 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Amiram Eldar, Table of n, a(n) for n = 1..2000 EXAMPLE 13008 = 23^3 + 29^2 is a term since 23 and 29 are consecutive primes, (13007, 13009) are twin primes, 23^2 + 29^3 = 24918, and (24917, 24919) are also twin primes. MATHEMATICA a={}; Do[p1=Prime[n]; p2=Prime[n+1]; p3=p1^2+p2^3; p4=p1^3+p2^2; If[PrimeQ[p3-1]&&PrimeQ[p3+1]&&PrimeQ[p4-1]&&PrimeQ[p4+1], AppendTo[a, p4]], {n, 13^5}]; Print[a]; CROSSREFS Cf. A001097, A001359, A006512, A014574. Cf. A138716, A138755, A139780. Sequence in context: A203910 A354510 A138762 * A031633 A015327 A210016 Adjacent sequences: A139774 A139775 A139776 * A139778 A139779 A139780 KEYWORD nonn AUTHOR Vladimir Joseph Stephan Orlovsky, May 16 2008 EXTENSIONS More terms from Amiram Eldar, Dec 22 2019 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 14 05:27 EDT 2024. Contains 373393 sequences. (Running on oeis4.)