WordGPT

What is the 1376th prime number?

The 1376th prime number is 11399. The next prime is 11411 (a gap of 12) and the one before is 11393.

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 1376th one is 11399.

  2. 2

    11399 is prime because no prime up to √11399 ā‰ˆ 106.77 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 1376th prime is close to 1376 Ɨ ln(1376) ā‰ˆ 9944, and here it is 11399.

  4. 4

    11399 has no twin: neither 11397 nor 11401 is prime.

Primes around the 1376th

PositionPrimeGap from the previous
13731136916
13741138314
13751139310
1376113996
13771141112
13781142312
13791143714

Questions

What is the 1376th prime number?

11399.

Which prime number is 11399?

11399 is the 1376th prime number.

What is the sum of the first 1376 primes?

7,307,977.

About 11399

Neighbouring primes

    The 1376th prime number is 11399 | WordGPT