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

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

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

7777

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

Smallest is 11 & Largest is 77.

Related questions

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

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

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

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

How about: 773

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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