What is the 637th prime number?
The 637th prime number is 4723. The next prime is 4729 (a gap of 6) and the one before is 4721.
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 637th one is 4723.
- 2
4723 is prime because no prime up to ā4723 ā 68.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 637th prime is close to 637 Ć ln(637) ā 4113, and here it is 4723.
- 4
4723 is a twin prime: 4721 and 4723 are both prime.
Primes around the 637th
| Position | Prime | Gap from the previous |
|---|---|---|
| 634 | 4691 | 12 |
| 635 | 4703 | 12 |
| 636 | 4721 | 18 |
| 637 | 4723 | 2 |
| 638 | 4729 | 6 |
| 639 | 4733 | 4 |
| 640 | 4751 | 18 |
Questions
What is the 637th prime number?
4723.
Which prime number is 4723?
4723 is the 637th prime number.
What is the sum of the first 637 primes?
1,392,182.