What is the 5621st prime number?
The 5621st prime number is 55339. The next prime is 55343 (a gap of 4) and the one before is 55337.
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 5621st one is 55339.
- 2
55339 is prime because no prime up to ā55339 ā 235.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5621st prime is close to 5621 Ć ln(5621) ā 48533, and here it is 55339.
- 4
55339 is a twin prime: 55337 and 55339 are both prime.
Primes around the 5621st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5618 | 55331 | 18 |
| 5619 | 55333 | 2 |
| 5620 | 55337 | 4 |
| 5621 | 55339 | 2 |
| 5622 | 55343 | 4 |
| 5623 | 55351 | 8 |
| 5624 | 55373 | 22 |
Questions
What is the 5621st prime number?
55339.
Which prime number is 55339?
55339 is the 5621st prime number.
What is the sum of the first 5621 primes?
146,714,414.