WordGPT

What is the 5211th prime number?

The 5211th prime number is 50873. The next prime is 50891 (a gap of 18) and the one before is 50867.

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 5211th one is 50873.

  2. 2

    50873 is prime because no prime up to √50873 ā‰ˆ 225.55 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 5211th prime is close to 5211 Ɨ ln(5211) ā‰ˆ 44598, and here it is 50873.

  4. 4

    50873 has no twin: neither 50871 nor 50875 is prime.

Primes around the 5211th

PositionPrimeGap from the previous
52085084910
5209508578
52105086710
5211508736
52125089118
5213508932
52145090916

Questions

What is the 5211th prime number?

50873.

Which prime number is 50873?

50873 is the 5211th prime number.

What is the sum of the first 5211 primes?

124,946,010.

About 50873

Neighbouring primes

    The 5211th prime number is 50873 | WordGPT