Find four integers such that

are all squares

The first few solutions are:

Also found by **pipo**

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Here five solutions:

Format:[a,b,c,d,a+ b,a+ c,a+ d,b+ c,b+ d,c+ d,a+b+c+d,[10430,3970,2114,386,14400,12544,10816,6084,4356,2500,16900]

[17906,5810,4594,590,23716,22500,18496,10404,6400,5184,28900]

[21032,9944,2377,872,30976,23409,21904,12321,10816,3249,34225]

[22088,12881,4808,2248,34969,26896,24336,17689,15129,7056,42025],[41720,15880,8456,1544,57600,50176,43264,24336,17424,10000,67600]

The last one is not ‘primitive’ because it is 4 times the first solutions.

pipo

Nice work!