What is the 6618th prime number?
The 6618th prime number is 66361. The next prime is 66373 (a gap of 12) and the one before is 66359.
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 6618th one is 66361.
- 2
66361 is prime because no prime up to ā66361 ā 257.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6618th prime is close to 6618 Ć ln(6618) ā 58222, and here it is 66361.
- 4
66361 is a twin prime: 66359 and 66361 are both prime.
Primes around the 6618th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6615 | 66343 | 6 |
| 6616 | 66347 | 4 |
| 6617 | 66359 | 12 |
| 6618 | 66361 | 2 |
| 6619 | 66373 | 12 |
| 6620 | 66377 | 4 |
| 6621 | 66383 | 6 |
Questions
What is the 6618th prime number?
66361.
Which prime number is 66361?
66361 is the 6618th prime number.
What is the sum of the first 6618 primes?
207,296,527.