WordGPT

What is the 1374th prime number?

The 1374th prime number is 11383. The next prime is 11393 (a gap of 10) and the one before is 11369.

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 1374th one is 11383.

  2. 2

    11383 is prime because no prime up to √11383 ā‰ˆ 106.69 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 1374th prime is close to 1374 Ɨ ln(1374) ā‰ˆ 9928, and here it is 11383.

  4. 4

    11383 has no twin: neither 11381 nor 11385 is prime.

Primes around the 1374th

PositionPrimeGap from the previous
13711135122
1372113532
13731136916
13741138314
13751139310
1376113996
13771141112

Questions

What is the 1374th prime number?

11383.

Which prime number is 11383?

11383 is the 1374th prime number.

What is the sum of the first 1374 primes?

7,285,185.

About 11383

Neighbouring primes

    The 1374th prime number is 11383 | WordGPT