What is the 636th prime number?
The 636th prime number is 4721. The next prime is 4723 (a gap of 2) and the one before is 4703.
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 636th one is 4721.
- 2
4721 is prime because no prime up to ā4721 ā 68.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 636th prime is close to 636 Ć ln(636) ā 4106, and here it is 4721.
- 4
4721 is a twin prime: 4721 and 4723 are both prime.
Primes around the 636th
| Position | Prime | Gap from the previous |
|---|---|---|
| 633 | 4679 | 6 |
| 634 | 4691 | 12 |
| 635 | 4703 | 12 |
| 636 | 4721 | 18 |
| 637 | 4723 | 2 |
| 638 | 4729 | 6 |
| 639 | 4733 | 4 |
Questions
What is the 636th prime number?
4721.
Which prime number is 4721?
4721 is the 636th prime number.
What is the sum of the first 636 primes?
1,387,459.