What is the 6612th prime number?
The 6612th prime number is 66293. The next prime is 66301 (a gap of 8) and the one before is 66271.
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 6612th one is 66293.
- 2
66293 is prime because no prime up to ā66293 ā 257.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6612th prime is close to 6612 Ć ln(6612) ā 58163, and here it is 66293.
- 4
66293 has no twin: neither 66291 nor 66295 is prime.
Primes around the 6612th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6609 | 66221 | 30 |
| 6610 | 66239 | 18 |
| 6611 | 66271 | 32 |
| 6612 | 66293 | 22 |
| 6613 | 66301 | 8 |
| 6614 | 66337 | 36 |
| 6615 | 66343 | 6 |
Questions
What is the 6612th prime number?
66293.
Which prime number is 66293?
66293 is the 6612th prime number.
What is the sum of the first 6612 primes?
206,898,479.