WordGPT

What is the 6016th prime number?

The 6016th prime number is 59497. The next prime is 59509 (a gap of 12) and the one before is 59473.

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 6016th one is 59497.

  2. 2

    59497 is prime because no prime up to √59497 ā‰ˆ 243.92 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6016th prime is close to 6016 Ɨ ln(6016) ā‰ˆ 52352, and here it is 59497.

  4. 4

    59497 has no twin: neither 59495 nor 59499 is prime.

Primes around the 6016th

PositionPrimeGap from the previous
60135946714
6014594714
6015594732
60165949724
60175950912
6018595134
60195953926

Questions

What is the 6016th prime number?

59497.

Which prime number is 59497?

59497 is the 6016th prime number.

What is the sum of the first 6016 primes?

169,399,581.

About 59497

Neighbouring primes

    The 6016th prime number is 59497 | WordGPT