What is the 621st prime number?
The 621st prime number is 4591. The next prime is 4597 (a gap of 6) and the one before is 4583.
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 621st one is 4591.
- 2
4591 is prime because no prime up to ā4591 ā 67.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 621st prime is close to 621 Ć ln(621) ā 3994, and here it is 4591.
- 4
4591 has no twin: neither 4589 nor 4593 is prime.
Primes around the 621st
| Position | Prime | Gap from the previous |
|---|---|---|
| 618 | 4561 | 12 |
| 619 | 4567 | 6 |
| 620 | 4583 | 16 |
| 621 | 4591 | 8 |
| 622 | 4597 | 6 |
| 623 | 4603 | 6 |
| 624 | 4621 | 18 |
Questions
What is the 621st prime number?
4591.
Which prime number is 4591?
4591 is the 621st prime number.
What is the sum of the first 621 primes?
1,317,632.