What is the 6609th prime number?
The 6609th prime number is 66221. The next prime is 66239 (a gap of 18) and the one before is 66191.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 6609th one is 66221.
- 2
66221 is prime because no prime up to ā66221 ā 257.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6609th prime is close to 6609 Ć ln(6609) ā 58134, and here it is 66221.
- 4
66221 has no twin: neither 66219 nor 66223 is prime.
Primes around the 6609th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6606 | 66173 | 4 |
| 6607 | 66179 | 6 |
| 6608 | 66191 | 12 |
| 6609 | 66221 | 30 |
| 6610 | 66239 | 18 |
| 6611 | 66271 | 32 |
| 6612 | 66293 | 22 |
Questions
What is the 6609th prime number?
66221.
Which prime number is 66221?
66221 is the 6609th prime number.
What is the sum of the first 6609 primes?
206,699,676.