WordGPT

What is the 1220th prime number?

The 1220th prime number is 9887. The next prime is 9901 (a gap of 14) and the one before is 9883.

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 1220th one is 9887.

  2. 2

    9887 is prime because no prime up to √9887 ā‰ˆ 99.43 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 1220th prime is close to 1220 Ɨ ln(1220) ā‰ˆ 8670, and here it is 9887.

  4. 4

    9887 has no twin: neither 9885 nor 9889 is prime.

Primes around the 1220th

PositionPrimeGap from the previous
121798592
1218987112
1219988312
122098874
1221990114
122299076
1223992316

Questions

What is the 1220th prime number?

9887.

Which prime number is 9887?

9887 is the 1220th prime number.

What is the sum of the first 1220 primes?

5,646,975.

About 9887

Neighbouring primes

    The 1220th prime number is 9887 | WordGPT