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A075568
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Rearrangement of noncomposite numbers such that every partial sum is composite.
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1
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1, 3, 2, 19, 5, 47, 7, 11, 13, 17, 23, 29, 31, 37, 41, 43, 53, 59, 61, 71, 67, 73, 79, 83, 89, 101, 97, 103, 107, 113, 109, 131, 127, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 229, 227, 239, 233, 241, 251, 257, 263, 271, 269
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Conjectured to consist of consecutive primes after 53. (See also comments in A123055.)
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PROG
| (PARI) v=vector(1000000):s=1:for(n=1, 100, f=0:forprime(p=2, 1000000, if(!v[p]&&!isprime(s+p), f=p:break)): if(f, print1(f", "):v[f]=1:s=s+f, print1("0, ")))
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CROSSREFS
| First differences of A123055 (except for the leading 1). - N. J. A. Sloane (njas(AT)research.att.com), Sep 26 2006
Sequence in context: A157705 A185447 A078073 * A057026 A032448 A066195
Adjacent sequences: A075565 A075566 A075567 * A075569 A075570 A075571
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 25 2002
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EXTENSIONS
| More terms from Ralf Stephan (ralf(AT)ark.in-berlin.de), Mar 30 2003
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