What is the 5626th prime number?
The 5626th prime number is 55399. The next prime is 55411 (a gap of 12) and the one before is 55381.
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 5626th one is 55399.
- 2
55399 is prime because no prime up to ā55399 ā 235.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5626th prime is close to 5626 Ć ln(5626) ā 48581, and here it is 55399.
- 4
55399 has no twin: neither 55397 nor 55401 is prime.
Primes around the 5626th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5623 | 55351 | 8 |
| 5624 | 55373 | 22 |
| 5625 | 55381 | 8 |
| 5626 | 55399 | 18 |
| 5627 | 55411 | 12 |
| 5628 | 55439 | 28 |
| 5629 | 55441 | 2 |
Questions
What is the 5626th prime number?
55399.
Which prime number is 55399?
55399 is the 5626th prime number.
What is the sum of the first 5626 primes?
146,991,261.