What is the 625th prime number?
The 625th prime number is 4637. The next prime is 4639 (a gap of 2) and the one before is 4621.
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 625th one is 4637.
- 2
4637 is prime because no prime up to ā4637 ā 68.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 625th prime is close to 625 Ć ln(625) ā 4024, and here it is 4637.
- 4
4637 is a twin prime: 4637 and 4639 are both prime.
Primes around the 625th
| Position | Prime | Gap from the previous |
|---|---|---|
| 622 | 4597 | 6 |
| 623 | 4603 | 6 |
| 624 | 4621 | 18 |
| 625 | 4637 | 16 |
| 626 | 4639 | 2 |
| 627 | 4643 | 4 |
| 628 | 4649 | 6 |
Questions
What is the 625th prime number?
4637.
Which prime number is 4637?
4637 is the 625th prime number.
What is the sum of the first 625 primes?
1,336,090.