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submitted 2 weeks ago by GabrielBell12fi@lemmy.world to c/tumblr@lemmy.world

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[–] SuperSpruce@lemmy.zip 17 points 2 weeks ago (2 children)

Is this a general rule? Because with my primitive checking, all sum of first n cubes add to the square of a triangle number.

1^2 = 1^3 = 1

(1+2)^2 = 1^3 + 2^3 = 9

(1+2+3)^2 = 1^3 + 2^3 + 3^3 = 36

...

[–] pruwybn@discuss.tchncs.de 12 points 2 weeks ago (1 children)

Huh, looks like it's true!

[–] Opisek@lemmy.world 3 points 2 weeks ago

Paywall. But I did prove it myself for fun and it is indeed true :D

[–] Alfredolin@sopuli.xyz -4 points 2 weeks ago (1 children)

Next one is not.

[–] itslilith@lemmy.blahaj.zone 10 points 2 weeks ago

Yeah it is, (1+2+3+4)² = 10² = 100 = 1+8+27+64 = 1³+2³+3³+4³