WordGPT

What is the 1384th prime number?

The 1384th prime number is 11483. The next prime is 11489 (a gap of 6) and the one before is 11471.

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 1384th one is 11483.

  2. 2

    11483 is prime because no prime up to √11483 ā‰ˆ 107.16 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 1384th prime is close to 1384 Ɨ ln(1384) ā‰ˆ 10010, and here it is 11483.

  4. 4

    11483 has no twin: neither 11481 nor 11485 is prime.

Primes around the 1384th

PositionPrimeGap from the previous
1381114474
13821146720
1383114714
13841148312
1385114896
1386114912
1387114976

Questions

What is the 1384th prime number?

11483.

Which prime number is 11483?

11483 is the 1384th prime number.

What is the sum of the first 1384 primes?

7,399,559.

About 11483

Neighbouring primes

    The 1384th prime number is 11483 | WordGPT