Problem 1:
Find all natural numbers n such that ends with exactly 26 zeros.
Problem 2:
Find the largest two digit prime that divides .
Problem 3:
Find all natural numbers such that
is divisible by 25.
Problem 4:
When is computed, it ends in 7 zeros. Find the digit that immediately precedes these zeros.
Problem 5:
Prove that is a natural number for all
.
Cheers,
Nalin Pihwa.