WordGPT

What is the 2220th prime number?

The 2220th prime number is 19571. The next prime is 19577 (a gap of 6) and the one before is 19559.

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 2220th one is 19571.

  2. 2

    19571 is prime because no prime up to √19571 ā‰ˆ 139.90 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 2220th prime is close to 2220 Ɨ ln(2220) ā‰ˆ 17106, and here it is 19571.

  4. 4

    19571 has no twin: neither 19569 nor 19573 is prime.

Primes around the 2220th

PositionPrimeGap from the previous
2217195432
22181955310
2219195596
22201957112
2221195776
2222195836
22231959714

Questions

What is the 2220th prime number?

19571.

Which prime number is 19571?

19571 is the 2220th prime number.

What is the sum of the first 2220 primes?

20,339,329.

About 19571

Neighbouring primes

    The 2220th prime number is 19571 | WordGPT