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 A014091 Numbers that are the sum of 2 primes. 17
 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; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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, Jul 14 2004 LINKS T. D. Noe, Table of n, a(n) for n = 1..1000 David Eisenbud and Brady Haran, Goldbach Conjecture, Numberphile video (2017) T. Estermann, Proof that every large integer is the sum of two primes and a square, Proc. Lond. Math. Soc. 42 (1937) 501-516. MAPLE sort({seq(2+ithprime(j), j=1..21)} union {seq(2*k, k=2..ceil(ithprime(21)/2))}); (Deutsch) MATHEMATICA Take[ Union@ Flatten@ Table[ Prime@p + Prime@q, {p, 25}, {q, p}], 71] - Robert G. Wilson v, Aug 31 2008 PROG (PARI) isA014091(n)= my(i, p); i=1; p=prime(i); while(p2) \\ on Goldbach's conjecture; Charles R Greathouse IV, Oct 22 2013 (Haskell) a014091 n = a014091_list !! (n-1) a014091_list = filter (\x -> any ((== 1) . a010051) \$                       map (x -) \$ takeWhile (< x) a000040_list) [1..] -- Reinhard Zumkeller, Oct 15 2014 CROSSREFS Complement = A014092. Cf. A010051, A000040,  A157931 (semiprimes). Sequence in context: A162706 A088331 A239433 * A287961 A030791 A227763 Adjacent sequences:  A014088 A014089 A014090 * A014092 A014093 A014094 KEYWORD nonn AUTHOR EXTENSIONS More terms from Robert G. Wilson v, Aug 31 2008 STATUS approved

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Last modified September 24 07:30 EDT 2018. Contains 315308 sequences. (Running on oeis4.)