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.

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

Offset

1,1

Links

Table of n, a(n) for n=1..47.

Prog

(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: A086561 A083790 A217201 * A063719 A272862 A361662

Adjacent sequences: A074122 A074123 A074124 * A074126 A074127 A074128

Keyword

nonn

Author

Amarnath Murthy, Aug 27 2002

Extensions

Corrected and extended by Ralf Stephan, Mar 23 2003

Status

approved