WordGPT

What is the 6607th prime number?

The 6607th prime number is 66179. The next prime is 66191 (a gap of 12) and the one before is 66173.

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 6607th one is 66179.

  2. 2

    66179 is prime because no prime up to √66179 ā‰ˆ 257.25 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6607th prime is close to 6607 Ɨ ln(6607) ā‰ˆ 58114, and here it is 66179.

  4. 4

    66179 has no twin: neither 66177 nor 66181 is prime.

Primes around the 6607th

PositionPrimeGap from the previous
66046616124
6605661698
6606661734
6607661796
66086619112
66096622130
66106623918

Questions

What is the 6607th prime number?

66179.

Which prime number is 66179?

66179 is the 6607th prime number.

What is the sum of the first 6607 primes?

206,567,264.

About 66179

Neighbouring primes

    The 6607th prime number is 66179 | WordGPT