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What is the 6028th prime number?

The 6028th prime number is 59629. The next prime is 59651 (a gap of 22) and the one before is 59627.

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 6028th one is 59629.

  2. 2

    59629 is prime because no prime up to √59629 ā‰ˆ 244.19 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6028th prime is close to 6028 Ɨ ln(6028) ā‰ˆ 52469, and here it is 59629.

  4. 4

    59629 is a twin prime: 59627 and 59629 are both prime.

Primes around the 6028th

PositionPrimeGap from the previous
6025596176
6026596214
6027596276
6028596292
60295965122
6030596598
6031596634

Questions

What is the 6028th prime number?

59629.

Which prime number is 59629?

59629 is the 6028th prime number.

What is the sum of the first 6028 primes?

170,114,513.

About 59629

Neighbouring primes

    The 6028th prime number is 59629 | WordGPT