WordGPT

What is the 3079th prime number?

The 3079th prime number is 28279. The next prime is 28283 (a gap of 4) and the one before is 28277.

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 3079th one is 28279.

  2. 2

    28279 is prime because no prime up to √28279 ā‰ˆ 168.16 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 3079th prime is close to 3079 Ɨ ln(3079) ā‰ˆ 24732, and here it is 28279.

  4. 4

    28279 is a twin prime: 28277 and 28279 are both prime.

Primes around the 3079th

PositionPrimeGap from the previous
3076282198
30772822910
30782827748
3079282792
3080282834
3081282896
3082282978

Questions

What is the 3079th prime number?

28279.

Which prime number is 28279?

28279 is the 3079th prime number.

What is the sum of the first 3079 primes?

40,846,040.

About 28279

Neighbouring primes

    The 3079th prime number is 28279 | WordGPT