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What is the 6490th prime number?

The 6490th prime number is 64937. The next prime is 64951 (a gap of 14) and the one before is 64927.

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 6490th one is 64937.

  2. 2

    64937 is prime because no prime up to √64937 ā‰ˆ 254.83 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6490th prime is close to 6490 Ɨ ln(6490) ā‰ˆ 56969, and here it is 64937.

  4. 4

    64937 has no twin: neither 64935 nor 64939 is prime.

Primes around the 6490th

PositionPrimeGap from the previous
64876491918
6488649212
6489649276
64906493710
64916495114
64926496918
64936499728

Questions

What is the 6490th prime number?

64937.

Which prime number is 64937?

64937 is the 6490th prime number.

What is the sum of the first 6490 primes?

198,896,095.

About 64937

Neighbouring primes

    The 6490th prime number is 64937 | WordGPT