|
Search: id:A074844
|
|
|
| A074844 |
|
Largest difference between consecutive divisors of n is equal to the sum of divisors of n except 1 and n. |
|
+0
1
|
| |
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
No other term < 600000. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 04 2005
|
|
EXAMPLE
|
The divisors of 345 are [1, 3, 5, 15, 23, 69, 115, 345] and the largest difference between consecutive divisors is 345-115 = 230; the sum of divisors except 1 and 345 are 3+5+15+23+69+115 = 230.
|
|
MAPLE
|
with(numtheory): a:=proc(n) local div: div:=divisors(n): if max(seq(div[j]-div[j-1], j=2..tau(n)))=sigma(n)-1-n then n else fi end: seq(a(n), n=1..100000); (Deutsch)
|
|
CROSSREFS
|
Cf. A048050, A060681.
Sequence in context: A000783 A098654 A069884 this_sequence A052391 A051955 A109760
Adjacent sequences: A074841 A074842 A074843 this_sequence A074845 A074846 A074847
|
|
KEYWORD
|
more,nonn
|
|
AUTHOR
|
Jason Earls (zevi_35711(AT)yahoo.com), Sep 10 2002
|
|
EXTENSIONS
|
More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 04 2005
|
|
|
Search completed in 0.002 seconds
|
