What is the 6611th prime number?
The 6611th prime number is 66271. The next prime is 66293 (a gap of 22) and the one before is 66239.
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 6611th one is 66271.
- 2
66271 is prime because no prime up to ā66271 ā 257.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6611th prime is close to 6611 Ć ln(6611) ā 58154, and here it is 66271.
- 4
66271 has no twin: neither 66269 nor 66273 is prime.
Primes around the 6611th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6608 | 66191 | 12 |
| 6609 | 66221 | 30 |
| 6610 | 66239 | 18 |
| 6611 | 66271 | 32 |
| 6612 | 66293 | 22 |
| 6613 | 66301 | 8 |
| 6614 | 66337 | 36 |
Questions
What is the 6611th prime number?
66271.
Which prime number is 66271?
66271 is the 6611th prime number.
What is the sum of the first 6611 primes?
206,832,186.