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A074125 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 first term of each group. +0
4
4, 6, 8, 24, 26, 33, 60, 77, 99, 165, 187, 209, 219, 261, 336, 464, 470, 475, 482, 558, 865, 955, 973, 984, 1106, 1314, 1424, 1466, 1492, 1572, 2066, 2095, 2098, 2319, 2584, 2858, 3013, 3206, 3279, 3475, 3660, 3921, 3978, 4030, 4706, 5118, 5947 (list; graph; listen)
OFFSET

1,1

PROGRAM

(PARI) n=3:for(k=1, 100, r=0:s=0:while(!s||(s%prime(k)>0), if(!isprime(n), s=s+n:if(!r, r=n)):n=n+1):print1(r", "))

CROSSREFS

Cf. A074124, A074126, A074127.

Sequence in context: A019196 A083790 A086561 this_sequence A063719 A106366 A019160

Adjacent sequences: A074122 A074123 A074124 this_sequence A074126 A074127 A074128

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 27 2002

EXTENSIONS

Corrected and extended by Ralf Stephan (ralf(AT)ark.in-berlin.de), Mar 23 2003

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Last modified July 6 17:22 EDT 2008. Contains 140988 sequences.


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