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What is the 6066th prime number?

The 6066th prime number is 60091. The next prime is 60101 (a gap of 10) and the one before is 60089.

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 6066th one is 60091.

  2. 2

    60091 is prime because no prime up to √60091 ā‰ˆ 245.13 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6066th prime is close to 6066 Ɨ ln(6066) ā‰ˆ 52838, and here it is 60091.

  4. 4

    60091 is a twin prime: 60089 and 60091 are both prime.

Primes around the 6066th

PositionPrimeGap from the previous
60636007736
6064600836
6065600896
6066600912
60676010110
6068601032
6069601074

Questions

What is the 6066th prime number?

60091.

Which prime number is 60091?

60091 is the 6066th prime number.

What is the sum of the first 6066 primes?

172,389,215.

About 60091

Neighbouring primes

    The 6066th prime number is 60091 | WordGPT