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Oblong Difference Observation (Posted on 2015-10-15) Difficulty: 3 of 5
Find all possible pairs (M, N) of oblong numbers that satisfy:

M - N = 2016

Prove that there are no others.

*** As an extra challenge solve this puzzle without using a computer program aided method.

  Submitted by K Sengupta    
Rating: 4.0000 (2 votes)
Solution: (Hide)
      M        N    ordinal oblongs
    2256      240     47   15
    3422     1406     58   37
   13572    11556    116  107
   21756    19740    147  140  
  113906   111890    337  334  
 1017072  1015056   1008 1007
For an explanation, refer to:
• The analytical solution submitted by Steve Herman in this location.
• The computer program assisted solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughtsre: two more solutions (computer solutions)K Sengupta2023-01-11 00:36:12
No SubjectK Sengupta2023-01-11 00:33:58
Full analytical solutionSteve Herman2015-10-15 17:42:35
Solutiontwo more solutions (computer solutions)Charlie2015-10-15 13:58:20
solutionxdog2015-10-15 12:48:34
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