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\[\left \lfloor \frac{2}{1}\times\frac{5}{4}\times\frac{8}{7}\times\frac{11}{10}\times\cdots\times\frac{2015}{2014}\times\frac{2018}{2017} \right \rfloor = \, ? \]

Notation ...

Find the number of triples (a,b,c) such that a < b < c and

a+b+c +ab +bc +ca = abc + 1

Find all positive integers m, n, and primes p ≥ 5 such that

m(4\(m^{2}\) +m +12) = 3(\(p^{n}\) - 1)

If a is the number of triplets (m ...

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