Find a positive integer m such that 1 2m is a perfect square and 1 3m is a perfect cube. Can you find a positive integer n for which 1 2n is a perfect square, 1 3n is a perfect cube and 1 5n is a perfect fifth power?
Find a positive integer m such that 1/2m is a perfect square and 1/3m is a perfect cube. Can you find a positive integer n for which 1/2n is a perfect square, 1/3n is a perfect cube and 1/5n is a perfect fifth power?
According to the Journal of Irreproducible Results, any obtuse angle is a right angle! Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with DAB = x, and ABC = 90◦, andAD = BC. Say the
the only perfect number of the form x(n) + y(n) A perfect number is an integer that is equal to the sum of its positive divisors (not including itself). Therefore, 6 is a perfect number, since its positive divisors are 1, 2, and 3
There are three distinct ways to add four positive odd numbers to obtain 10: 1 + 1 + 3 + 5 = 10 1 + 1 + 1 + 7 = 10 1 + 3 + 3 + 3 = 10 Here, distinct means that changing the order of the numbers on the left-hand side of an equation