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What is the 6115th prime number?

The 6115th prime number is 60659. The next prime is 60661 (a gap of 2) and the one before is 60649.

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 6115th one is 60659.

  2. 2

    60659 is prime because no prime up to √60659 ā‰ˆ 246.29 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6115th prime is close to 6115 Ɨ ln(6115) ā‰ˆ 53314, and here it is 60659.

  4. 4

    60659 is a twin prime: 60659 and 60661 are both prime.

Primes around the 6115th

PositionPrimeGap from the previous
6112606376
61136064710
6114606492
61156065910
6116606612
61176067918
61186068910

Questions

What is the 6115th prime number?

60659.

Which prime number is 60659?

60659 is the 6115th prime number.

What is the sum of the first 6115 primes?

175,347,820.

About 60659

Neighbouring primes

    The 6115th prime number is 60659 | WordGPT