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What is the 6068th prime number?

The 6068th prime number is 60103. The next prime is 60107 (a gap of 4) and the one before is 60101.

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 6068th one is 60103.

  2. 2

    60103 is prime because no prime up to √60103 ā‰ˆ 245.16 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6068th prime is close to 6068 Ɨ ln(6068) ā‰ˆ 52857, and here it is 60103.

  4. 4

    60103 is a twin prime: 60101 and 60103 are both prime.

Primes around the 6068th

PositionPrimeGap from the previous
6065600896
6066600912
60676010110
6068601032
6069601074
60706012720
6071601336

Questions

What is the 6068th prime number?

60103.

Which prime number is 60103?

60103 is the 6068th prime number.

What is the sum of the first 6068 primes?

172,509,419.

About 60103

Neighbouring primes

    The 6068th prime number is 60103 | WordGPT