WordGPT

What is the 1079th prime number?

The 1079th prime number is 8669. The next prime is 8677 (a gap of 8) and the one before is 8663.

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 1079th one is 8669.

  2. 2

    8669 is prime because no prime up to √8669 ā‰ˆ 93.11 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 1079th prime is close to 1079 Ɨ ln(1079) ā‰ˆ 7536, and here it is 8669.

  4. 4

    8669 has no twin: neither 8667 nor 8671 is prime.

Primes around the 1079th

PositionPrimeGap from the previous
1076864112
107786476
1078866316
107986696
108086778
108186814
108286898

Questions

What is the 1079th prime number?

8669.

Which prime number is 8669?

8669 is the 1079th prime number.

What is the sum of the first 1079 primes?

4,338,624.

About 8669

Neighbouring primes

    The 1079th prime number is 8669 | WordGPT