A094750 Rearrangement of composite numbers so that the successive differences are distinct prime numbers. Priority is given to the least successive difference (prime) that has not occurred earlier.

4, 6, 9, 14, 21, 10, 27, 40, 63, 44, 15, 46, 87, 50, 93, 140, 81, 28, 95, 34, 105, 32, 111, 194, 291, 202, 303, 200, 91, 198, 85, 212, 343, 206, 345, 196, 45, 208, 51, 218, 391, 570, 377, 558, 749, 552, 341, 142, 365, 138, 371, 600, 361, 120, 403, 152, 415, 158

Offset

1,1

Comments

First priority is given to minimize the absolute value |a(n+1)-a(n)| of the difference (a prime), second priority to minimize a(n+1). The term "rearrangement" is conjectural as it remains to be proved that all positive composite numbers A002808 are in the list. - R. J. Mathar, Aug 03 2007

Links

Table of n, a(n) for n=1..58.

Crossrefs

Cf. A094751.

Sequence in context: A171664 A286303 A084336 * A241013 A330071 A057988

Adjacent sequences: A094747 A094748 A094749 * A094751 A094752 A094753

Keyword

nonn

Author

Amarnath Murthy, May 24 2004

Extensions

More terms from R. J. Mathar, Aug 03 2007

Status

approved