What is the 624th prime number?
The 624th prime number is 4621. The next prime is 4637 (a gap of 16) and the one before is 4603.
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 624th one is 4621.
- 2
4621 is prime because no prime up to ā4621 ā 67.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 624th prime is close to 624 Ć ln(624) ā 4016, and here it is 4621.
- 4
4621 has no twin: neither 4619 nor 4623 is prime.
Primes around the 624th
| Position | Prime | Gap from the previous |
|---|---|---|
| 621 | 4591 | 8 |
| 622 | 4597 | 6 |
| 623 | 4603 | 6 |
| 624 | 4621 | 18 |
| 625 | 4637 | 16 |
| 626 | 4639 | 2 |
| 627 | 4643 | 4 |
Questions
What is the 624th prime number?
4621.
Which prime number is 4621?
4621 is the 624th prime number.
What is the sum of the first 624 primes?
1,331,453.