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What is the 6466th prime number?

The 6466th prime number is 64661. The next prime is 64663 (a gap of 2) and the one before is 64633.

Position

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    List the primes in order: 2, 3, 5, 7, 11, 13, … The 6466th one is 64661.

  2. 2

    64661 is prime because no prime up to √64661 ā‰ˆ 254.29 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6466th prime is close to 6466 Ɨ ln(6466) ā‰ˆ 56735, and here it is 64661.

  4. 4

    64661 is a twin prime: 64661 and 64663 are both prime.

Primes around the 6466th

PositionPrimeGap from the previous
6463646218
6464646276
6465646336
64666466128
6467646632
6468646674
64696467912

Questions

What is the 6466th prime number?

64661.

Which prime number is 64661?

64661 is the 6466th prime number.

What is the sum of the first 6466 primes?

197,340,647.

About 64661

Neighbouring primes

    The 6466th prime number is 64661 | WordGPT