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What is the 6065th prime number?

The 6065th prime number is 60089. The next prime is 60091 (a gap of 2) and the one before is 60083.

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 6065th one is 60089.

  2. 2

    60089 is prime because no prime up to √60089 ā‰ˆ 245.13 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6065th prime is close to 6065 Ɨ ln(6065) ā‰ˆ 52828, and here it is 60089.

  4. 4

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

Primes around the 6065th

PositionPrimeGap from the previous
6062600414
60636007736
6064600836
6065600896
6066600912
60676010110
6068601032

Questions

What is the 6065th prime number?

60089.

Which prime number is 60089?

60089 is the 6065th prime number.

What is the sum of the first 6065 primes?

172,329,124.

About 60089

Neighbouring primes

    The 6065th prime number is 60089 | WordGPT