P
playtolearn


1/Find two positive integers a and b such as that:
a^2 - 2
ab +2
is an interger
2/ Given 1975 distinct natural numbers a1,a2,...,a1975 such that 1\leqa1 <a2 <...<a1975 \leq2004,prove that the number of pairs of cónecutive natural numblers among them is greater than or equal to 1945.
a^2 - 2
ab +2
is an interger
2/ Given 1975 distinct natural numbers a1,a2,...,a1975 such that 1\leqa1 <a2 <...<a1975 \leq2004,prove that the number of pairs of cónecutive natural numblers among them is greater than or equal to 1945.