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8 = 4 + 4 (Posted on 2004-08-26) Difficulty: 3 of 5
In the line of

1233 = 12² + 33²

990100 = 990² + 100²

can you find an eight digit number with the same property? Even longer numbers?

See The Solution Submitted by Federico Kereki    
Rating: 3.0000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution | Comment 1 of 12

 

How about 9412^2 + 2353^2 = 94122533

Thanks Charlie! With fixing the typo:

9412^2 + 2353^2 = 94122353

Some longer ones are

17650^2 + 38125^2 = 1765038125

25840^2 + 43776^2 = 2584043776

74160^2 + 43776^2 = 7416043776 (cool that 43776 is used 2x)

82350^2 + 38125^2 = 8235038125

116788^2 + 321168^2 = 116788321168

123288^2 + 328768^2 = 123288328768

I don't see any pattern or way to find these except brute force.

Edited on August 26, 2004, 11:36 am
  Posted by Rajal on 2004-08-26 10:58:46

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