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Search: id:A067187
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| A067187 |
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Numbers which can be expressed as the sum of two primes in exactly one way. |
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+0
10
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| 4, 5, 6, 7, 8, 9, 12, 13, 15, 19, 21, 25, 31, 33, 39, 43, 45, 49, 55, 61, 63, 69, 73, 75, 81, 85, 91, 99, 103, 105, 109, 111, 115, 129, 133, 139, 141, 151, 153, 159, 165, 169, 175, 181, 183, 193, 195, 199, 201, 213, 225, 229, 231, 235, 241, 243, 253, 259, 265, 271
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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All primes + 2 are terms of this sequence. Is 12 the last even term? - Frank Ellermann (f-e(AT)hamburg.de), Jan 17, 2002
Comment from Eric Weisstein, Oct 10, 2003: A048974, A052147, A067187 and A088685 are very similar after dropping terms less than 13.
Values of n such that A061358(n)=1. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 03 2006
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LINKS
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Index entries for sequences related to Goldbach conjecture
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EXAMPLE
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4 is a term as 4 = 2+2, 15 is a term as 15 = 13+2.
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MAPLE
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g:=sum(sum(x^(ithprime(i)+ithprime(j)), i=1..j), j=1..80): gser:=series(g, x=0, 280): a:=proc(n) if coeff(gser, x^n)=1 then n else fi end: seq(a(n), n=1..272); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 03 2006
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CROSSREFS
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Cf. A023036, A067188-A067191, A066722, A045917, A061358.
Subsequence of A014091.
Cf. A061358.
Sequence in context: A016070 A047569 A039062 this_sequence A109602 A084991 A099070
Adjacent sequences: A067184 A067185 A067186 this_sequence A067188 A067189 A067190
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jan 10 2002
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EXTENSIONS
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Edited by Frank Ellermann (f-e(AT)hamburg.de), Jan 17, 2002
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