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All/Any different? (Posted on 2005-08-16) Difficulty: 4 of 5
Given positive integer n, consider the set of numbers {n²+1, n²+2, ... (n+1)²}. If we pick two numbers x and y out of that set, how many different values can the product xy take?

  Submitted by Federico Kereki    
Rating: 3.5000 (6 votes)
Solution: (Hide)
n(2n+1) -- see http://www.qbyte.org/puzzles/p110s.html

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle AnswerK Sengupta2022-05-29 09:21:42
re(4): Where's the proof?Josh706792005-08-20 21:06:55
re(3): Where's the proof?Richard2005-08-20 09:30:09
re(2): Where's the proof?Josh706792005-08-20 08:18:30
re: Where's the proof?Josh706792005-08-20 06:18:59
Where's the proof?Richard2005-08-20 02:00:01
re(2): wait a second...Josh706792005-08-17 21:59:24
re: wait a second...pcbouhid2005-08-17 21:43:24
re: wait a second...owl2005-08-17 18:55:39
Some Thoughtswait a second...Josh706792005-08-17 18:38:51
re(4): what am I missing? - to JoshJosh706792005-08-16 23:28:11
re: A hintowl2005-08-16 23:15:33
Hints/TipsA hintFederico Kereki2005-08-16 23:11:35
re(3): what am I missing? - to Joshpcbouhid2005-08-16 23:08:49
re(3): what am I missing?owl2005-08-16 23:08:40
Solutionre(2): what am I missing?Josh706792005-08-16 22:06:21
re: ratings - to owlowl2005-08-16 21:49:34
ratings - to owlpcbouhid2005-08-16 20:56:17
re(5): what am I missing?owl2005-08-16 20:55:17
re(4): what am I missing?pcbouhid2005-08-16 20:49:59
re(3): what am I missing?owl2005-08-16 20:43:22
ratingsowl2005-08-16 20:41:00
re(2): what am I missing?pcbouhid2005-08-16 20:38:10
re: boundspcbouhid2005-08-16 20:35:06
re: what am I missing?owl2005-08-16 20:32:05
what am I missing?pcbouhid2005-08-16 20:28:52
Some Thoughtsboundsowl2005-08-16 20:26:41
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