A096160 Numbers whose proper divisors can be arranged in such a way that all sums of adjacent pairs are primes.

4, 6, 8, 10, 12, 22, 30, 34, 58, 82, 118, 142, 202, 214, 274, 298, 358, 382, 394, 454, 478, 538, 562, 622, 694, 838, 862, 922, 1038, 1042, 1138, 1198, 1234, 1282, 1318, 1618, 1642, 1654, 1714, 1762, 2038, 2062, 2098, 2122, 2182, 2302, 2458, 2554, 2578, 2602

Offset

1,1

Comments

A096158(a(n)) > 0; subsequence of A096157.

Links

Table of n, a(n) for n=1..50.

Example

Proper divisors of 30 are {1,2,3,5,6,10,15}: [3,10,1,6,5,2,15] -> (3+10,10+1,1+6,6+5,5+2,2+15) = (13,11,7,11,7,17): therefore 12 is a term.

Crossrefs

Sequence in context: A131694 A053012 A359202 * A181055 A225506 A073669

Adjacent sequences: A096157 A096158 A096159 * A096161 A096162 A096163

Keyword

nonn

Author

Reinhard Zumkeller, Jun 18 2004

Extensions

More terms from Ryan Propper, Jul 22 2005

Status

approved