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Search: id:A014091
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| A014091 |
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Numbers that are the sum of 2 primes. |
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+0
10
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| 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 24, 25, 26, 28, 30, 31, 32, 33, 34, 36, 38, 39, 40, 42, 43, 44, 45, 46, 48, 49, 50, 52, 54, 55, 56, 58, 60, 61, 62, 63, 64, 66, 68, 69, 70, 72, 73, 74, 75, 76, 78, 80, 81, 82, 84, 85, 86, 88, 90, 91, 92, 94, 96, 98
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Sequence consists of all primes + 2 and, conjecturally (Goldbach), of all even integers larger than 2. The Goldbach conjecture is that every even number is the sum of two primes. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 14 2004
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LINKS
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T. Estermann, Proof that every large integer is the sum of two primes and a square, Proc. Lond. Math. Soc. 42 (1937) 501-516.
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MAPLE
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sort({seq(2+ithprime(j), j=1..21)} union {seq(2*k, k=2..ceil(ithprime(21)/2))}); (Deutsch)
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MATHEMATICA
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Take[ Union@ Flatten@ Table[ Prime@p + Prime@q, {p, 25}, {q, p}], 71] - Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 31 2008
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PROGRAM
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(PARI) isA014091(n)={ local p ; i=1 ; p=prime(i) ; while(p<n, if( isprime(n-p), return(1) ; ) ; i++ ; p=prime(i) ; ) ; return(0) ; } { n=0 ; for(a=2, 100, if(isA014091(a), print(n, " ", a) ; n++ ; ) ; ) ; } - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 20 2006
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CROSSREFS
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Complement = A014092.
Sequence in context: A039128 A162706 A088331 this_sequence A030791 A039091 A120181
Adjacent sequences: A014088 A014089 A014090 this_sequence A014092 A014093 A014094
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 31 2008
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