The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation. Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A216047 Consider the ordered Goldbach partitions of the even numbers m. Then a(n) is the least m which contains prime(n) such partitions composed of odd primes. 2
 8, 10, 22, 34, 106, 178, 202, 358, 386, 502, 802, 694, 1322, 958, 1198, 1366, 1546, 1654, 2066, 2578, 2402, 2446, 2722, 2894, 2974, 3866, 3646, 3986, 4054, 4162, 4954, 5714, 5182, 6082, 6334, 6598, 6614, 6742, 7402, 8158, 7846, 8782, 8566, 9274, 9382, 9502 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A002372(a(n)/2) = p. LINKS J. Stauduhar and Donovan Johnson, Table of n, a(n) for n = 1..1000 (first 100 terms from J. Stauduhar) EXAMPLE With n = 1:  prime(1) = 2, so we want the least m that has 2 such partitions.  For m = 4, 4 = {2+2}, but 2 is not an odd prime number.  For m = 6, 6 has one such partition, {3+3}, but 1 is not a prime number.  For m = 8, 8 has two such partitions, {3+5, 5+3}, so a(1) = 8. a(3) = 22: With n = 3, prime(3) = 5 and 22 = {3+19, 5+17, 11+11, 17+5, 19+3}. MATHEMATICA nn = 10^4; ps = Boole[PrimeQ[Range[1, 2*nn, 2]]]; lst = Table[Sum[ps[[i]] ps[[n - i + 1]], {i, n}], {n, nn}]; t = {}; p = 0; While[p = NextPrime[p]; pos = Position[lst, p, 1, 1]; pos != {}, AppendTo[t, 2*pos[[1, 1]]]]; t (* T. D. Noe, Aug 31 2012 *) CROSSREFS Cf. A002372. Sequence in context: A338820 A302429 A292999 * A032488 A102844 A303199 Adjacent sequences:  A216044 A216045 A216046 * A216048 A216049 A216050 KEYWORD nonn AUTHOR J. Stauduhar, Aug 30 2012 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 November 26 01:22 EST 2020. Contains 338631 sequences. (Running on oeis4.)