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• 19:32, 19 September 2025 Andrei.Horvat talk contribs created page E:16888 (Created page with "'''E:16888 (Gheorghe Boroica)''' ''Considerăm <math>n<math> un număr natural nenul. Demonstrați că numărul <math>N = \underbrace{44\ldots4}_{n \text{ cifre}}\underbrace{22\ldots2}_{n \text{ cifre}} </math> poate fi scris ca produsul a două numere naturale consecutive.'' ''''Soluție''' Dacă <math>a=\underbrace{11\ldots1}_{n \text{ cifre}}</math>, atunci <math>9\cdot a+1=10^n</math> și <math display="block">N= 4\cdot a \cdot 10^n + 2 \cdot a = 2\cdot a \...")