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A224534
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Primes numbers that are the sum of three distinct prime numbers.
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5
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19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307
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OFFSET
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1,1
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COMMENTS
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Similar to Goldbach's weak conjecture.
"Goldbach's original conjecture (sometimes called the 'ternary' Goldbach conjecture), written in a June 7, 1742 letter to Euler, states 'at least it seems that every number that is greater than 2 is the sum of three primes' (Goldbach 1742; Dickson 2005, p. 421). Note that here Goldbach considered the number 1 to be a prime, a convention that is no longer followed." [Weisstein] - Jonathan Vos Post, May 15 2013
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LINKS
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EXAMPLE
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19 = 3 + 5 + 11.
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MATHEMATICA
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Union[Select[Total /@ Subsets[Prime[Range[2, 30]], {3}], PrimeQ]]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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