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What is the 6099th prime number?

The 6099th prime number is 60493. The next prime is 60497 (a gap of 4) and the one before is 60457.

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 6099th one is 60493.

  2. 2

    60493 is prime because no prime up to √60493 ā‰ˆ 245.95 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6099th prime is close to 6099 Ɨ ln(6099) ā‰ˆ 53158, and here it is 60493.

  4. 4

    60493 has no twin: neither 60491 nor 60495 is prime.

Primes around the 6099th

PositionPrimeGap from the previous
60966044316
6097604496
6098604578
60996049336
6100604974
61016050912
61026052112

Questions

What is the 6099th prime number?

60493.

Which prime number is 60493?

60493 is the 6099th prime number.

What is the sum of the first 6099 primes?

174,378,356.

About 60493

Neighbouring primes

    The 6099th prime number is 60493 | WordGPT