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A084147
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Integers that have exactly 2 representations as sums of consecutive primes.
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1
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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; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| More fundamental than A067372, which gives integers having 2 *or more* such representations
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LINKS
| Eric Weisstein's World of Mathematics, Prime Sums
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EXAMPLE
| 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
| 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
| Cf. A067372, A084143.
Sequence in context: A181484 A060292 A067372 * A044862 A162526 A078299
Adjacent sequences: A084144 A084145 A084146 * A084148 A084149 A084150
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KEYWORD
| nonn
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com), May 15, 2003
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EXTENSIONS
| More terms from John W. Layman (layman(AT)math.vt.edu), May 21 2003
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