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4 numbers make 5 squares (Posted on 2016-06-30) Difficulty: 3 of 5
Find four whole numbers such that:

each pairwise sum is a perfect square and
the sum of all four is a perfect square.

No Solution Yet Submitted by Jer    
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Solution re(2): Row of text ok? -- solutions found Comment 10 of 10 |
(In reply to re: Row of text ok? by Charlie)

Abbreviated output of the program as corrected of the error found by armando appears below.  I don't know what other error caused some to be not in ascending order, but the best would seem to be

-104 360 729 3240 
-88 344 1177 2792 
386 2114 3970 10430
590 4594 5810 17906
617 15008 26608 63392
872 2377 9944 21032



...
-151 200 200 376
-136 10952 10952 12457
-128 128 128 272
-128 128 128 1028
-128 128 128 4097
-104 360 729 3240        *******
-98 98 98 2402
-88 88 137 488        *******
-88 344 1177 2792        *******
-72 72 72 97
-72 72 72 153
-72 72 72 328
-72 72 72 1297
-72 72 97 72        *******
-72 20808 20808 74056
-50 50 50 626
-32 32 32 68
-32 32 32 257
-18 18 18 82
-18 5202 5202 18514
-8 8 8 17
-8 8 17 8        *******
1 288 288 20448
4 1152 1152 81792
9 2592 2592 184032
16 4608 4608 327168
257 968 968 13432
322 2178 2178 12222
386 2114 3970 10430        *******
496 800 800 5129
590 4594 5810 17906        *******
617 15008 26608 63392        *******
872 2377 9944 21032        *******

  Posted by Charlie on 2016-07-01 14:09:05
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