WordGPT

What is the 1377th prime number?

The 1377th prime number is 11411. The next prime is 11423 (a gap of 12) and the one before is 11399.

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 1377th one is 11411.

  2. 2

    11411 is prime because no prime up to √11411 ā‰ˆ 106.82 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 1377th prime is close to 1377 Ɨ ln(1377) ā‰ˆ 9952, and here it is 11411.

  4. 4

    11411 has no twin: neither 11409 nor 11413 is prime.

Primes around the 1377th

PositionPrimeGap from the previous
13741138314
13751139310
1376113996
13771141112
13781142312
13791143714
1380114436

Questions

What is the 1377th prime number?

11411.

Which prime number is 11411?

11411 is the 1377th prime number.

What is the sum of the first 1377 primes?

7,319,388.

About 11411

Neighbouring primes

    The 1377th prime number is 11411 | WordGPT