WordGPT

What is the 1390th prime number?

The 1390th prime number is 11527. The next prime is 11549 (a gap of 22) and the one before is 11519.

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 1390th one is 11527.

  2. 2

    11527 is prime because no prime up to √11527 ā‰ˆ 107.36 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 1390th prime is close to 1390 Ɨ ln(1390) ā‰ˆ 10060, and here it is 11527.

  4. 4

    11527 has no twin: neither 11525 nor 11529 is prime.

Primes around the 1390th

PositionPrimeGap from the previous
1387114976
1388115036
13891151916
1390115278
13911154922
1392115512
13931157928

Questions

What is the 1390th prime number?

11527.

Which prime number is 11527?

11527 is the 1390th prime number.

What is the sum of the first 1390 primes?

7,468,585.

About 11527

Neighbouring primes

    The 1390th prime number is 11527 | WordGPT