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 A139321 First occurrence of n in A068307: least number k such that the number of decomposition of k into the sum of three primes is n. 6
 1, 6, 9, 15, 17, 21, 31, 27, 35, 33, 39, 41, 45, 47, 55, 51, 53, 57, 242, 63, 67, 65, 71, 476, 79, 81, 578, 85, 77, 83, 99, 572, 512, 89, 97, 95, 103, 111, 101, 692, 1040, 632, 115, 107, 782, 129, 121, 113, 902, 141, 119, 842, 992, 125, 133, 147, 1520, 131, 159, 145 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Records (differs from A139322): 1, 6, 9, 15, 17, 21, 31, 35, 39, 41, 45, 47, 55, 57, 242, 476, 578, 692, 1040, 1520, 1898, 2162, 2480, 3536, 4004, 4034, 4526, 5456, 5918, 7010, 8804, 9740, 10106, 10262, 10412, 10622, 10772, 10952, 11462, 12362, 12452, 12512, 12560, 12662, 12902, ... . LINKS Robert G. Wilson v and T. D. Noe, Table of n, a(n) for n = 0..2500 MATHEMATICA f[n_] := Block[{c = 0, lmt = PrimePi@ Floor[n/2], p, q}, Do[p = Prime@ i; q = Prime@ j; r = n - p - q; If[ PrimeQ@ r && r >= p, c++ ], {i, lmt}, {j, i}]; c]; t = Table[0, {1000}]; Do[a = f@n; If[t[[a]] == 0, t[[a]] = n; Print[{a, n}]], {n, 10^6}] CROSSREFS Cf. A000040, A068307. Records: A139322. Sequence in context: A316022 A316023 A139322 * A210732 A316024 A316025 Adjacent sequences:  A139318 A139319 A139320 * A139322 A139323 A139324 KEYWORD nonn AUTHOR Robert G. Wilson v, Apr 13 2008 STATUS approved

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Last modified August 16 12:15 EDT 2022. Contains 356168 sequences. (Running on oeis4.)