What is the 627th prime number?
The 627th prime number is 4643. The next prime is 4649 (a gap of 6) and the one before is 4639.
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 627th one is 4643.
- 2
4643 is prime because no prime up to ā4643 ā 68.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 627th prime is close to 627 Ć ln(627) ā 4038, and here it is 4643.
- 4
4643 has no twin: neither 4641 nor 4645 is prime.
Primes around the 627th
| Position | Prime | Gap from the previous |
|---|---|---|
| 624 | 4621 | 18 |
| 625 | 4637 | 16 |
| 626 | 4639 | 2 |
| 627 | 4643 | 4 |
| 628 | 4649 | 6 |
| 629 | 4651 | 2 |
| 630 | 4657 | 6 |
Questions
What is the 627th prime number?
4643.
Which prime number is 4643?
4643 is the 627th prime number.
What is the sum of the first 627 primes?
1,345,372.