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What is the 6060th prime number?

The 6060th prime number is 60029. The next prime is 60037 (a gap of 8) and the one before is 60017.

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 6060th one is 60029.

  2. 2

    60029 is prime because no prime up to √60029 ā‰ˆ 245.01 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6060th prime is close to 6060 Ɨ ln(6060) ā‰ˆ 52779, and here it is 60029.

  4. 4

    60029 has no twin: neither 60027 nor 60031 is prime.

Primes around the 6060th

PositionPrimeGap from the previous
60575999918
60586001314
6059600174
60606002912
6061600378
6062600414
60636007736

Questions

What is the 6060th prime number?

60029.

Which prime number is 60029?

60029 is the 6060th prime number.

What is the sum of the first 6060 primes?

172,028,797.

About 60029

Neighbouring primes

    The 6060th prime number is 60029 | WordGPT