What is the 6606th prime number?
The 6606th prime number is 66173. The next prime is 66179 (a gap of 6) and the one before is 66169.
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 6606th one is 66173.
- 2
66173 is prime because no prime up to ā66173 ā 257.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6606th prime is close to 6606 Ć ln(6606) ā 58105, and here it is 66173.
- 4
66173 has no twin: neither 66171 nor 66175 is prime.
Primes around the 6606th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6603 | 66137 | 28 |
| 6604 | 66161 | 24 |
| 6605 | 66169 | 8 |
| 6606 | 66173 | 4 |
| 6607 | 66179 | 6 |
| 6608 | 66191 | 12 |
| 6609 | 66221 | 30 |
Questions
What is the 6606th prime number?
66173.
Which prime number is 66173?
66173 is the 6606th prime number.
What is the sum of the first 6606 primes?
206,501,085.