What is the 6610th prime number?
The 6610th prime number is 66239. The next prime is 66271 (a gap of 32) and the one before is 66221.
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 6610th one is 66239.
- 2
66239 is prime because no prime up to ā66239 ā 257.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6610th prime is close to 6610 Ć ln(6610) ā 58144, and here it is 66239.
- 4
66239 has no twin: neither 66237 nor 66241 is prime.
Primes around the 6610th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6607 | 66179 | 6 |
| 6608 | 66191 | 12 |
| 6609 | 66221 | 30 |
| 6610 | 66239 | 18 |
| 6611 | 66271 | 32 |
| 6612 | 66293 | 22 |
| 6613 | 66301 | 8 |
Questions
What is the 6610th prime number?
66239.
Which prime number is 66239?
66239 is the 6610th prime number.
What is the sum of the first 6610 primes?
206,765,915.