What is the 626th prime number?
The 626th prime number is 4639. The next prime is 4643 (a gap of 4) and the one before is 4637.
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 626th one is 4639.
- 2
4639 is prime because no prime up to ā4639 ā 68.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 626th prime is close to 626 Ć ln(626) ā 4031, and here it is 4639.
- 4
4639 is a twin prime: 4637 and 4639 are both prime.
Primes around the 626th
| Position | Prime | Gap from the previous |
|---|---|---|
| 623 | 4603 | 6 |
| 624 | 4621 | 18 |
| 625 | 4637 | 16 |
| 626 | 4639 | 2 |
| 627 | 4643 | 4 |
| 628 | 4649 | 6 |
| 629 | 4651 | 2 |
Questions
What is the 626th prime number?
4639.
Which prime number is 4639?
4639 is the 626th prime number.
What is the sum of the first 626 primes?
1,340,729.