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What is the 6085th prime number?

The 6085th prime number is 60293. The next prime is 60317 (a gap of 24) and the one before is 60289.

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 6085th one is 60293.

  2. 2

    60293 is prime because no prime up to √60293 ā‰ˆ 245.55 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6085th prime is close to 6085 Ɨ ln(6085) ā‰ˆ 53022, and here it is 60293.

  4. 4

    60293 has no twin: neither 60291 nor 60295 is prime.

Primes around the 6085th

PositionPrimeGap from the previous
6082602592
60836027112
60846028918
6085602934
60866031724
60876033114
6088603376

Questions

What is the 6085th prime number?

60293.

Which prime number is 60293?

60293 is the 6085th prime number.

What is the sum of the first 6085 primes?

173,532,840.

About 60293

Neighbouring primes

    The 6085th prime number is 60293 | WordGPT