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kaliprasad
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find the highest 3 digit prime factor of ${2000 \choose 1000}$
kaliprasad said:find the highest 3 digit prime factor of ${2000 \choose 1000}$
The "Highest 3 digit prime factor" refers to the largest prime number that can be found in any three-digit number. A prime number is a number that is only divisible by 1 and itself.
An example of a "Highest 3 digit prime factor" is 997, which is the largest prime number that can be found in any three-digit number.
To find the "Highest 3 digit prime factor" of a number, you can use a factorization method. This involves breaking down the number into its prime factors and then selecting the largest one that is within the three-digit range.
The "Highest 3 digit prime factor" is important in mathematics because it helps us understand the distribution of prime numbers and their properties. It also has applications in number theory and cryptography.
Yes, the highest possible "Highest 3 digit prime factor" is 997 as there are no other three-digit prime numbers that exist. However, this limit can be extended to larger numbers with more digits.