|
|
A092002
|
|
Numbers that can be expressed as the difference of the squares of primes in exactly six distinct ways.
|
|
0
|
|
|
840, 1320, 1680, 2520, 3192, 3432, 4920, 5208, 5280, 5712, 6552, 6888, 9360, 11928, 16008, 19152, 19992, 25200, 29568, 31080, 35880, 38280, 38640, 40920, 41832, 45240, 47880, 48360, 48720, 51240, 51480, 53040, 56280, 57288, 61320, 63240
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
EXAMPLE
|
840 = 31^2-11^2 = 37^2-23^2 = 41^2-29^2 = 47^2-37^2 = 73^2-67^2 =
107^2-103^2
|
|
MATHEMATICA
|
Take[Transpose[Select[Tally[Sort[Last[#]-First[#]&/@(Subsets[ Prime[ Range[ 2000]], {2}]^2)]], Last[#]==6&]][[1]], 40] (* Harvey P. Dale, Nov 17 2013 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|