2 I am abcde. None of my digits are 0. ab is three times ed. bc is four times cd,
and a = d
6 My last three digits form a perfect square, my first two digits form a perfect cube, my first, third and fifth digits are the same
7 I am a 4 digit perfect square. My first two digits are the same and my last two digits are the same.
8 I start with an even digit, I consist of a pythagorean triplet such that the hypotenuse is itself a perfect square and also my last two digits form a perfect square.
1 I am the sum of the cubes of my digits; all being distinct
3 I start with a square, I end with a cube, if I am abcdef, a*bc = de*f, I have all distinct digits and bc is a two digit square
4 I am a prime number whose binary conversion is a 7 digit palindrome and uses all possible digits
5 I am a five digit number in base 5. When converted into base 10, I become the highest 4 digit binary number