What is the 634th prime number?
The 634th prime number is 4691. The next prime is 4703 (a gap of 12) and the one before is 4679.
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 634th one is 4691.
- 2
4691 is prime because no prime up to ā4691 ā 68.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 634th prime is close to 634 Ć ln(634) ā 4091, and here it is 4691.
- 4
4691 has no twin: neither 4689 nor 4693 is prime.
Primes around the 634th
| Position | Prime | Gap from the previous |
|---|---|---|
| 631 | 4663 | 6 |
| 632 | 4673 | 10 |
| 633 | 4679 | 6 |
| 634 | 4691 | 12 |
| 635 | 4703 | 12 |
| 636 | 4721 | 18 |
| 637 | 4723 | 2 |
Questions
What is the 634th prime number?
4691.
Which prime number is 4691?
4691 is the 634th prime number.
What is the sum of the first 634 primes?
1,378,035.