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- 1. The product of ānā consecutive natural numbers is always divisible by n!
- 2. Square of any natural number can be written in the form of 3n or 3n+1. Also, square of any natural number can be written in the form of 4n or 4n+1.
- 3. Square of a natural number can only end in 0, 1, 4, 5, 6 or 9. Second last digit of a square of a natural number is always even except when last digit is 6. If the last digit is 5, second last digit has to be 2.
- 4. Any prime number greater than 3 can be written as 6k+1/6k-1.
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