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# What is the largest four-digit number whose cube root is a prime number?

Updated: 11/1/2022 Wiki User

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Q: What is the largest four-digit number whose cube root is a prime number?
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### What are the largest three digit prime number whose digits are all primes?

The largest three digit prime number whose digits are all primes is 773.

### Which the largest 3 digit prime number whose digits all primes?

The largest 3 digit number whose digits are all primes is 777. The largest 3 digit number with different prime digits is 753.

97969

9409

### What is the largest 3 digit prime number whose square root is a prime number?

There is no three digit prime number whose square root is a prime number. Prime numbers have no factors other than 1 and themselves. Any number having a prime number as a square root is a composite number.

961

7777

### What is the largest 3 digit number whose square root is a prime number?

The answer is 961. The square root of 961 is 31, which is a prime number.

### What is the largest four digit number whose cube root is a prime number?

6859. Cube root of 9999 is 21.54, so find the largest prime number less than that (19), then cube that number. 19^3=6,859

773.

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