What is the 5620th prime number?
The 5620th prime number is 55337. The next prime is 55339 (a gap of 2) and the one before is 55333.
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 5620th one is 55337.
- 2
55337 is prime because no prime up to ā55337 ā 235.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5620th prime is close to 5620 Ć ln(5620) ā 48524, and here it is 55337.
- 4
55337 is a twin prime: 55337 and 55339 are both prime.
Primes around the 5620th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5617 | 55313 | 22 |
| 5618 | 55331 | 18 |
| 5619 | 55333 | 2 |
| 5620 | 55337 | 4 |
| 5621 | 55339 | 2 |
| 5622 | 55343 | 4 |
| 5623 | 55351 | 8 |
Questions
What is the 5620th prime number?
55337.
Which prime number is 55337?
55337 is the 5620th prime number.
What is the sum of the first 5620 primes?
146,659,075.