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A124867 Numbers that are the sum of 3 distinct primes. 5
10, 12, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Every number n>5 is the sum of 3 primes. Every number n>17 is the sum of 3 distinct primes. Natural numbers that are not the sum of 3 distinct primes are listed in A124868(n) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 17}.

A125688(a(n)) > 0. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 30 2006

EXAMPLE

a(1) = 10 = 2 + 3 + 5.

PROG

(PARI) a(n)=if(n>5, n+12, [10, 12, 14, 15, 16][n]) \\ Charles R Greathouse IV, Aug 26 2011

CROSSREFS

Cf. A124868 - Natural numbers that are not the sum of 3 distinct primes.

Sequence in context: A031288 A127957 A079026 * A199991 A161598 A122426

Adjacent sequences:  A124864 A124865 A124866 * A124868 A124869 A124870

KEYWORD

nonn,easy

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Nov 11 2006

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Last modified February 14 11:36 EST 2012. Contains 205623 sequences.