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What is the 6064th prime number?

The 6064th prime number is 60083. The next prime is 60089 (a gap of 6) and the one before is 60077.

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 6064th one is 60083.

  2. 2

    60083 is prime because no prime up to √60083 ā‰ˆ 245.12 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6064th prime is close to 6064 Ɨ ln(6064) ā‰ˆ 52818, and here it is 60083.

  4. 4

    60083 has no twin: neither 60081 nor 60085 is prime.

Primes around the 6064th

PositionPrimeGap from the previous
6061600378
6062600414
60636007736
6064600836
6065600896
6066600912
60676010110

Questions

What is the 6064th prime number?

60083.

Which prime number is 60083?

60083 is the 6064th prime number.

What is the sum of the first 6064 primes?

172,269,035.

About 60083

Neighbouring primes

    The 6064th prime number is 60083 | WordGPT