What is the 5622nd prime number?
The 5622nd prime number is 55343. The next prime is 55351 (a gap of 8) and the one before is 55339.
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 5622nd one is 55343.
- 2
55343 is prime because no prime up to ā55343 ā 235.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5622nd prime is close to 5622 Ć ln(5622) ā 48543, and here it is 55343.
- 4
55343 has no twin: neither 55341 nor 55345 is prime.
Primes around the 5622nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5619 | 55333 | 2 |
| 5620 | 55337 | 4 |
| 5621 | 55339 | 2 |
| 5622 | 55343 | 4 |
| 5623 | 55351 | 8 |
| 5624 | 55373 | 22 |
| 5625 | 55381 | 8 |
Questions
What is the 5622nd prime number?
55343.
Which prime number is 55343?
55343 is the 5622nd prime number.
What is the sum of the first 5622 primes?
146,769,757.