What is the 620th prime number?
The 620th prime number is 4583. The next prime is 4591 (a gap of 8) and the one before is 4567.
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 620th one is 4583.
- 2
4583 is prime because no prime up to ā4583 ā 67.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 620th prime is close to 620 Ć ln(620) ā 3986, and here it is 4583.
- 4
4583 has no twin: neither 4581 nor 4585 is prime.
Primes around the 620th
| Position | Prime | Gap from the previous |
|---|---|---|
| 617 | 4549 | 2 |
| 618 | 4561 | 12 |
| 619 | 4567 | 6 |
| 620 | 4583 | 16 |
| 621 | 4591 | 8 |
| 622 | 4597 | 6 |
| 623 | 4603 | 6 |
Questions
What is the 620th prime number?
4583.
Which prime number is 4583?
4583 is the 620th prime number.
What is the sum of the first 620 primes?
1,313,041.