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!)
 A157722 Primes of the Form : p1=a*b+c;p2=a*c+b;p3=b*c+a;p=(p1+p2+p3)/2; p1,p2 and p3 are three consecutive prime numbers. 1
 43, 863, 1181, 3467, 10613, 23081, 26189, 27803, 42407, 138731, 463949, 630167, 702101, 1038731, 1417649, 1452851, 2005061, 2060921, 4925861, 6565721, 9709163, 9739721, 10047881, 14268113, 15515573, 16575113, 16615031, 17300873, 17382461 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 MATHEMATICA lst={}; Do[a=Prime[n]; b=Prime[n+1]; c=Prime[n+2]; x=a*b+c; y=a*c+b; z=b*c+a; p=(x+y+z)/2; If[PrimeQ[p], AppendTo[lst, p]], {n, 1, 7!}]; lst prf[{a_, b_, c_}]:=Module[{x=a*b+c, y=b*c+a, z=a*c+b, k}, k=(x+y+z)/2; If[PrimeQ[ k], k, 0]]; DeleteCases[prf/@Partition[Prime[Range[500]], 3, 1], 0] (* Harvey P. Dale, May 12 2016 *) CROSSREFS Sequence in context: A337904 A278174 A332910 * A010959 A161668 A162181 Adjacent sequences: A157719 A157720 A157721 * A157723 A157724 A157725 KEYWORD nonn AUTHOR Vladimir Joseph Stephan Orlovsky, Mar 04 2009 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 May 21 19:35 EDT 2024. Contains 372738 sequences. (Running on oeis4.)