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What is the 6059th prime number?

The 6059th prime number is 60017. The next prime is 60029 (a gap of 12) and the one before is 60013.

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 6059th one is 60017.

  2. 2

    60017 is prime because no prime up to √60017 ā‰ˆ 244.98 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6059th prime is close to 6059 Ɨ ln(6059) ā‰ˆ 52770, and here it is 60017.

  4. 4

    60017 has no twin: neither 60015 nor 60019 is prime.

Primes around the 6059th

PositionPrimeGap from the previous
60565998110
60575999918
60586001314
6059600174
60606002912
6061600378
6062600414

Questions

What is the 6059th prime number?

60017.

Which prime number is 60017?

60017 is the 6059th prime number.

What is the sum of the first 6059 primes?

171,968,768.

About 60017

Neighbouring primes

    The 6059th prime number is 60017 | WordGPT