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What is the 6070th prime number?

The 6070th prime number is 60127. The next prime is 60133 (a gap of 6) and the one before is 60107.

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 6070th one is 60127.

  2. 2

    60127 is prime because no prime up to √60127 ā‰ˆ 245.21 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6070th prime is close to 6070 Ɨ ln(6070) ā‰ˆ 52876, and here it is 60127.

  4. 4

    60127 has no twin: neither 60125 nor 60129 is prime.

Primes around the 6070th

PositionPrimeGap from the previous
60676010110
6068601032
6069601074
60706012720
6071601336
6072601396
60736014910

Questions

What is the 6070th prime number?

60127.

Which prime number is 60127?

60127 is the 6070th prime number.

What is the sum of the first 6070 primes?

172,629,653.

About 60127

Neighbouring primes

    The 6070th prime number is 60127 | WordGPT