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What is the 6087th prime number?

The 6087th prime number is 60331. The next prime is 60337 (a gap of 6) and the one before is 60317.

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 6087th one is 60331.

  2. 2

    60331 is prime because no prime up to √60331 ā‰ˆ 245.62 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6087th prime is close to 6087 Ɨ ln(6087) ā‰ˆ 53042, and here it is 60331.

  4. 4

    60331 has no twin: neither 60329 nor 60333 is prime.

Primes around the 6087th

PositionPrimeGap from the previous
60846028918
6085602934
60866031724
60876033114
6088603376
6089603436
60906035310

Questions

What is the 6087th prime number?

60331.

Which prime number is 60331?

60331 is the 6087th prime number.

What is the sum of the first 6087 primes?

173,653,488.

About 60331

Neighbouring primes

    The 6087th prime number is 60331 | WordGPT