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Search: id:A074126
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| A074126 |
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Group the composite numbers so that the sum of the n-th group is a multiple of the n-th prime: (4), (6), (8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22), (24, 25), (26, 27, 28, 30, 32), (33, 34, ...), ... Sequence gives the number of terms in each group. |
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+0
4
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| 1, 1, 11, 2, 5, 21, 13, 18, 53, 18, 18, 9, 34, 63, 105, 5, 5, 6, 66, 259, 78, 16, 9, 103, 179, 100, 34, 21, 69, 431, 24, 3, 193, 233, 235, 138, 172, 64, 171, 161, 229, 51, 44, 598, 363, 733, 924, 362, 224, 99, 77, 54, 142, 261, 332, 5, 216, 592, 67, 72, 1140, 86, 336, 91, 43
(list; graph; listen)
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OFFSET
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1,3
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PROGRAM
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(PARI) { n=3; for(k=1, 100, r=0; s=0; c=0; while(!s||(s%prime(k)>0), if(!isprime(n), s=s+n; c++ ; if(!r, r=n) ); n=n+1 ); print1(c", ") ) } - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 10 2006
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CROSSREFS
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Cf. A074124, A074125, A074127.
Sequence in context: A089566 A010191 A064791 this_sequence A107831 A064928 A074335
Adjacent sequences: A074123 A074124 A074125 this_sequence A074127 A074128 A074129
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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), Aug 27 2002
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EXTENSIONS
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Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 10 2006
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