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What is the 6128th prime number?

The 6128th prime number is 60779. The next prime is 60793 (a gap of 14) and the one before is 60773.

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 6128th one is 60779.

  2. 2

    60779 is prime because no prime up to √60779 ā‰ˆ 246.53 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6128th prime is close to 6128 Ɨ ln(6128) ā‰ˆ 53440, and here it is 60779.

  4. 4

    60779 has no twin: neither 60777 nor 60781 is prime.

Primes around the 6128th

PositionPrimeGap from the previous
6125607614
6126607632
61276077310
6128607796
61296079314
61306081118
61316082110

Questions

What is the 6128th prime number?

60779.

Which prime number is 60779?

60779 is the 6128th prime number.

What is the sum of the first 6128 primes?

176,137,301.

About 60779

Neighbouring primes

    The 6128th prime number is 60779 | WordGPT