This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A126555 Primes in A126554. 7
 29, 1439, 4211, 7703, 12907, 14957, 16703, 20947, 29221, 31189, 33053, 36749, 44531, 51437, 90247, 115547, 124783, 127163, 133337, 144511, 146449, 151339, 157133, 166219, 169241, 180233, 181031, 185123, 197383, 223367, 225287, 240347 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Primes that are the arithmetic mean of two consecutive balanced primes (of order one); primes of the form A006562(k)+A006562(k+1))/2. Might be called prime interprimes of order two. LINKS MATHEMATICA b = {}; a = {}; Do[If[PrimeQ[((Prime[n + 2] + Prime[n + 1])/2 + (Prime[n + 1] + Prime[n])/2)/2], AppendTo[a, ((Prime[n + 2] + Prime[n + 1])/2 + (Prime[n + 1] + Prime[n])/2)/2]], {n, 1, 10000}]; Do[If[PrimeQ[(a[[k + 1]] + a[[k]])/2], AppendTo[b, (a[[k + 1]] + a[[k]])/2]], {k, 1, Length[a] - 1}]; b PROG (PARI) {m=250000; a=0; p=2; q=3; r=5; while(r<=m, if((p+r)/2==q, if(a>0, if(isprime(b=(a+q)/2), print1(b, ", "))); a=q); p=q; q=r; r=nextprime(r+1))} - Klaus Brockhaus, Jan 05 2007 CROSSREFS Cf. A126554, A006562. Sequence in context: A191968 A049657 A091994 * A028478 A042627 A042624 Adjacent sequences:  A126552 A126553 A126554 * A126556 A126557 A126558 KEYWORD nonn AUTHOR Artur Jasinski, Dec 27 2006 EXTENSIONS Edited and extended by Klaus Brockhaus, Jan 05 2007 STATUS approved

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

Last modified December 14 09:41 EST 2019. Contains 329979 sequences. (Running on oeis4.)