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Search: id:A109440
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| A109440 |
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Let n be an even integer greater than or equal than 4. Let "PrimeP" be the set of prime partition points {p,q} corresponding to n such that n = p + q, p and q are prime, and p <= q. Let "CompP" be the set of composite partition points {p,q} corresponding to n such that n = p + q, p is prime, q is composite, and p <= q. Let "AllP" be the (disjoint) union of the sets PrimeP and CompP. Let "LPrimeP", "LCompP", and "LAllP" denote the lengths of the sets = PrimeP, CompP, and AllP, respectively. Sequence gives values of n such that LPrimeP=LCompP. |
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+0
1
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| 2, 6, 8, 14, 16, 18, 20, 26, 30, 42, 108, 132
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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Example: n=30
AllP={{2,28},{3,27},{5,25},{7,23},{11,19},{13,17}}
PrimeP={{7,23},{11,19},{13,17}}
CompP={{2,28},{3,27},{5,25}}
LPrimeP=LCompP=3
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CROSSREFS
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Adjacent sequences: A109437 A109438 A109439 this_sequence A109441 A109442 A109443
Sequence in context: A074383 A107505 A074400 this_sequence A063242 A104636 A137831
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KEYWORD
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nonn
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AUTHOR
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Gilmar Rodriguez Pierluissi (gilmarlily(AT)yahoo.com), Aug 26 2005
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