Skip over navigation
Find the smallest positive integer N such that {N\over 2} is a perfect cube, {N\over 3} is a perfect fifth power and {N\over 5} is a perfect seventh power.
A Biggy
Age 14 to 16
Challenge Level 
Find the smallest positive integer N such that {N\over 2} is a perfect cube, {N\over 3} is a perfect fifth power and {N\over 5} is a perfect seventh power.
You may also like
Novemberish
a) A four digit number (in base 10) aabb is a perfect square. Discuss ways of systematically finding this number. (b) Prove that 11^{10}-1 is divisible by 100.
