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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A068631 a(1) = 4; a(n) = smallest composite number different from the previous ones such that the sum of all the terms is a composite number. 1 4, 6, 8, 9, 12, 10, 14, 15, 16, 18, 20, 21, 22, 25, 24, 26, 28, 27, 30, 33, 32, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 52, 54, 55, 51, 56, 57, 58, 60, 63, 62, 64, 65, 68, 69, 66, 70, 72, 74, 76, 77, 75, 78, 80, 81, 82, 84, 85, 86, 88, 90, 87, 91, 92, 94, 93, 95 (list; graph; refs; listen; history; text; internal format) OFFSET 1,1 LINKS Table of n, a(n) for n=1..70. EXAMPLE 4+6+8+9 = 27. The next term is 12 instead of 10 as 27 +10 is a prime but 27 +12 = 39 is composite. CROSSREFS Sequence in context: A105803 A202268 A084985 * A338461 A163520 A273546 Adjacent sequences: A068628 A068629 A068630 * A068632 A068633 A068634 KEYWORD easy,nonn AUTHOR Amarnath Murthy, Feb 26 2002 EXTENSIONS More terms from Larry Reeves (larryr(AT)acm.org), Jun 21 2002 Offset corrected by Sean A. Irvine, Mar 02 2024 STATUS approved

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Last modified August 18 15:26 EDT 2024. Contains 375269 sequences. (Running on oeis4.)