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Search: id:A084147
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| A084147 |
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Integers that have exactly 2 representations as sums of consecutive primes. |
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+0
2
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| 36, 41, 60, 72, 83, 90, 100, 112, 119, 120, 138, 143, 152, 180, 187, 197, 199, 204, 210, 221, 223, 228, 251, 258, 276, 281, 300, 304, 323, 330, 372, 384, 390, 395, 401, 408, 410, 434, 439, 456, 462, 473, 480, 491, 492, 508, 533, 540, 551, 552, 558, 559, 576
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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More fundamental than A067372, which gives integers having 2 *or more* such representations
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LINKS
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Eric Weisstein's World of Mathematics, Prime Sums
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EXAMPLE
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36 is in the sequence because it can be written in exactly two ways as sum of consecutive primes: 17+19 and 5+7+11+13.
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MAPLE
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g:=sum(sum(product(x^ithprime(k), k=i..j), j=i+1..150), i=1..150): gser:=series(g, x=0, 605): a:=proc(n) if coeff(gser, x^n)=2 then op(2, x^n) else fi end: seq(a(n), n=1..600); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 30 2006
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CROSSREFS
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Cf. A067372, A084143.
Sequence in context: A067672 A060292 A067372 this_sequence A044862 A162526 A078299
Adjacent sequences: A084144 A084145 A084146 this_sequence A084148 A084149 A084150
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), May 15, 2003
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EXTENSIONS
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More terms from John W. Layman (layman(AT)math.vt.edu), May 21 2003
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