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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.
1
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
CROSSREFS
Cf. A094751.
Sequence in context: A171664 A286303 A084336 * A241013 A330071 A057988
KEYWORD
nonn
AUTHOR
Amarnath Murthy, May 24 2004
EXTENSIONS
More terms from R. J. Mathar, Aug 03 2007
STATUS
approved