What is the 6605th prime number?
The 6605th prime number is 66169. The next prime is 66173 (a gap of 4) and the one before is 66161.
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 6605th one is 66169.
- 2
66169 is prime because no prime up to ā66169 ā 257.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6605th prime is close to 6605 Ć ln(6605) ā 58095, and here it is 66169.
- 4
66169 has no twin: neither 66167 nor 66171 is prime.
Primes around the 6605th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6602 | 66109 | 2 |
| 6603 | 66137 | 28 |
| 6604 | 66161 | 24 |
| 6605 | 66169 | 8 |
| 6606 | 66173 | 4 |
| 6607 | 66179 | 6 |
| 6608 | 66191 | 12 |
Questions
What is the 6605th prime number?
66169.
Which prime number is 66169?
66169 is the 6605th prime number.
What is the sum of the first 6605 primes?
206,434,912.