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What is the 2027th prime number?

The 2027th prime number is 17627. The next prime is 17657 (a gap of 30) and the one before is 17623.

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 2027th one is 17627.

  2. 2

    17627 is prime because no prime up to √17627 ā‰ˆ 132.77 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 2027th prime is close to 2027 Ɨ ln(2027) ā‰ˆ 15434, and here it is 17627.

  4. 4

    17627 has no twin: neither 17625 nor 17629 is prime.

Primes around the 2027th

PositionPrimeGap from the previous
2024175992
20251760910
20261762314
2027176274
20281765730
2029176592
20301766910

Questions

What is the 2027th prime number?

17627.

Which prime number is 17627?

17627 is the 2027th prime number.

What is the sum of the first 2027 primes?

16,747,430.

About 17627

Neighbouring primes

    The 2027th prime number is 17627 | WordGPT