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 A052349 Lexicographically earliest sequence of distinct positive integers such that no subsequence sums to a prime. 13
 1, 8, 24, 25, 86, 1260, 1890, 14136, 197400, 10467660, 1231572090, 682616834970 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This set was defined by T. W. A. Baumann in The Prime Puzzles and Problems pages. He and C. Rivera obtained the first 10 members. Chris Nash proved that this sequence is infinite. LINKS Chris Nash, Proof that A052349, A128687, and A128688 are infinite [Cached copy of proof, from The Prime Puzzles and Problems website] Carlos Rivera, Puzzle 84 EXAMPLE a(4) = 25 as 25+1, 25+8, 25+24, 25+1+8, 25+1+24, 25+8+24 and finally 25+1+8+24 all are composite numbers. CROSSREFS Cf. A068638. Cf. A128687 (restricted to odd numbers), A128688 (restricted to even numbers). Sequence in context: A128637 A280708 A109272 * A254448 A029607 A244030 Adjacent sequences:  A052346 A052347 A052348 * A052350 A052351 A052352 KEYWORD hard,more,nonn,nice AUTHOR Carlos Rivera, Mar 07 2000 EXTENSIONS One more term from T. D. Noe, Mar 20 2007 a(12) from Donovan Johnson, Jun 26 2010 New name from Charles R Greathouse IV, Jan 13 2014 Name clarified by Peter Kagey, Jan 07 2017 STATUS approved

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Last modified April 6 18:39 EDT 2020. Contains 333286 sequences. (Running on oeis4.)