ONM problema 3

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Laurian Filip
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ONM problema 3

Post by Laurian Filip »

a) Fie m, n numere naturale nenule, \( m>1 \). Sa se arate ca numarul \( m^4+4n^4 \) nu este numar prim.
b) Sa se arate ca numarul \( 3^{4^5}+4^{5^6} \) se descompune in produs de doi factori numere naturale, fiecare mai mare decat \( 10^{2009} \).
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BogdanCNFB
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Post by BogdanCNFB »

http://www.mateforum.ro/viewtopic.php?t=3710
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