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What is the 6076th prime number?

The 6076th prime number is 60169. The next prime is 60209 (a gap of 40) and the one before is 60167.

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 6076th one is 60169.

  2. 2

    60169 is prime because no prime up to √60169 ā‰ˆ 245.29 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6076th prime is close to 6076 Ɨ ln(6076) ā‰ˆ 52935, and here it is 60169.

  4. 4

    60169 is a twin prime: 60167 and 60169 are both prime.

Primes around the 6076th

PositionPrimeGap from the previous
60736014910
60746016112
6075601676
6076601692
60776020940
6078602178
6079602236

Questions

What is the 6076th prime number?

60169.

Which prime number is 60169?

60169 is the 6076th prime number.

What is the sum of the first 6076 primes?

172,990,571.

About 60169

Neighbouring primes

    The 6076th prime number is 60169 | WordGPT