What is the 635th prime number?
The 635th prime number is 4703. The next prime is 4721 (a gap of 18) and the one before is 4691.
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 635th one is 4703.
- 2
4703 is prime because no prime up to ā4703 ā 68.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 635th prime is close to 635 Ć ln(635) ā 4098, and here it is 4703.
- 4
4703 has no twin: neither 4701 nor 4705 is prime.
Primes around the 635th
| Position | Prime | Gap from the previous |
|---|---|---|
| 632 | 4673 | 10 |
| 633 | 4679 | 6 |
| 634 | 4691 | 12 |
| 635 | 4703 | 12 |
| 636 | 4721 | 18 |
| 637 | 4723 | 2 |
| 638 | 4729 | 6 |
Questions
What is the 635th prime number?
4703.
Which prime number is 4703?
4703 is the 635th prime number.
What is the sum of the first 635 primes?
1,382,738.