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What is the 6469th prime number?

The 6469th prime number is 64679. The next prime is 64693 (a gap of 14) and the one before is 64667.

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 6469th one is 64679.

  2. 2

    64679 is prime because no prime up to √64679 ā‰ˆ 254.32 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6469th prime is close to 6469 Ɨ ln(6469) ā‰ˆ 56764, and here it is 64679.

  4. 4

    64679 has no twin: neither 64677 nor 64681 is prime.

Primes around the 6469th

PositionPrimeGap from the previous
64666466128
6467646632
6468646674
64696467912
64706469314
64716470916
6472647178

Questions

What is the 6469th prime number?

64679.

Which prime number is 64679?

64679 is the 6469th prime number.

What is the sum of the first 6469 primes?

197,534,656.

About 64679

Neighbouring primes

    The 6469th prime number is 64679 | WordGPT