Today's problem: n, pentru care P...


	Saturday, 26 november 2016

n, pentru care P...

Proposed by Gabi Offline


(one comment)	1.188 times displayed

P, care se poate scrie sub forma 16ⁿ + 6ⁿ + 5, se poate scrie de asemenea si ca suma de doua numere prime. Aflati-l pe n, numar natural.


View the Solution Numarul P este impar, indiferent de n. Unul dintre cele doua numere prime este 2, iar celalalt 16ⁿ + 6ⁿ + 3, divizibil cu 5. Singurul numar prim divizibil cu 5 este 5, deci n este 0.

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problema zilei, probleme de matematica, amuzante, matematica amuzanta, logica, probleme rezolvate, solutii, rezolvari, puteri

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