A074127 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 group sum divided by n-th prime for the n-th group.

2, 2, 33, 7, 13, 74, 52, 83, 304, 109, 115, 52, 199, 438, 891, 44, 40, 47, 512, 2595, 971, 195, 106, 1208, 2229, 1355, 477, 290, 969, 6938, 393, 48, 3110, 4111, 4290, 2682, 3406, 1273, 3457, 3319, 4848, 1113, 922, 13530, 9047, 20368, 28315, 11673

Offset

1,1

Links

Table of n, a(n) for n=1..48.

Prog

(PARI) c=3:for(n=1, 70, s=0:while((s==0||s%prime(n)>0), c=c+1: if(isprime(c), c=c+1):s=s+c):print1(s/prime(n)", "))

Crossrefs

Cf. A074124, A074125, A074126.

Sequence in context: A353928 A121788 A018976 * A297795 A024176 A349033

Adjacent sequences: A074124 A074125 A074126 * A074128 A074129 A074130

Keyword

nonn

Author

Amarnath Murthy, Aug 27 2002

Extensions

Corrected and extended by Ralf Stephan, Mar 22 2003

Status

approved