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14-3-15-3-16-3-24-3-25-3-




Question Number 213001 by efronzo1 last updated on 28/Oct/24
      ⋖  14^3 +15^3 +16^3 +...+24^3 +25^3
143+153+163++243+253
Commented by Ghisom last updated on 28/Oct/24
12
12
Answered by mehdee7396 last updated on 28/Oct/24
1^3 +2^3 +...+25^3 =(((25×26)/2))^2   1^3 +2^3 +...+13^3 =(((13×14)/2))^2   s=(25×13)^2 −(7×13)^2 =13^2 ×24^2   ⇒p=13×24  ⇒p−300=12
13+23++253=(25×262)213+23++133=(13×142)2s=(25×13)2(7×13)2=132×242p=13×24p300=12

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