What is the 6617th prime number?
The 6617th prime number is 66359. The next prime is 66361 (a gap of 2) and the one before is 66347.
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 6617th one is 66359.
- 2
66359 is prime because no prime up to ā66359 ā 257.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6617th prime is close to 6617 Ć ln(6617) ā 58212, and here it is 66359.
- 4
66359 is a twin prime: 66359 and 66361 are both prime.
Primes around the 6617th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6614 | 66337 | 36 |
| 6615 | 66343 | 6 |
| 6616 | 66347 | 4 |
| 6617 | 66359 | 12 |
| 6618 | 66361 | 2 |
| 6619 | 66373 | 12 |
| 6620 | 66377 | 4 |
Questions
What is the 6617th prime number?
66359.
Which prime number is 66359?
66359 is the 6617th prime number.
What is the sum of the first 6617 primes?
207,230,166.