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Dois problemas de Teoria dos Números.



Pessoal, vcs poderiam fornecer soluções interessantes para:

1) Let K be a positive integer. Prove that the sequence of natural numbers
contains an infinite set of sequence M, M+1, ..., M+K-1, not containing
primes.

2)Prove that there an infinite numbers composite among the numbers
represented by the polynomial a_0 * x^n + a_1 * x^(n-1) + ... + a_n, where
a_0, a_1, ... , a_n are integer and a_0 > 0.

Por favor!!!

Ats,
Marcos Eike