What is the 622nd prime number?
The 622nd prime number is 4597. The next prime is 4603 (a gap of 6) and the one before is 4591.
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 622nd one is 4597.
- 2
4597 is prime because no prime up to ā4597 ā 67.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 622nd prime is close to 622 Ć ln(622) ā 4001, and here it is 4597.
- 4
4597 has no twin: neither 4595 nor 4599 is prime.
Primes around the 622nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 619 | 4567 | 6 |
| 620 | 4583 | 16 |
| 621 | 4591 | 8 |
| 622 | 4597 | 6 |
| 623 | 4603 | 6 |
| 624 | 4621 | 18 |
| 625 | 4637 | 16 |
Questions
What is the 622nd prime number?
4597.
Which prime number is 4597?
4597 is the 622nd prime number.
What is the sum of the first 622 primes?
1,322,229.