WordGPT

What is the 4469th prime number?

The 4469th prime number is 42737. The next prime is 42743 (a gap of 6) and the one before is 42727.

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 4469th one is 42737.

  2. 2

    42737 is prime because no prime up to √42737 ā‰ˆ 206.73 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 4469th prime is close to 4469 Ɨ ln(4469) ā‰ˆ 37562, and here it is 42737.

  4. 4

    42737 has no twin: neither 42735 nor 42739 is prime.

Primes around the 4469th

PositionPrimeGap from the previous
4466427096
44674271910
4468427278
44694273710
4470427436
4471427518
44724276716

Questions

What is the 4469th prime number?

42737.

Which prime number is 42737?

42737 is the 4469th prime number.

What is the sum of the first 4469 primes?

90,190,560.

About 42737

Neighbouring primes

    The 4469th prime number is 42737 | WordGPT