What is the 5625th prime number?
The 5625th prime number is 55381. The next prime is 55399 (a gap of 18) and the one before is 55373.
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 5625th one is 55381.
- 2
55381 is prime because no prime up to ā55381 ā 235.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5625th prime is close to 5625 Ć ln(5625) ā 48572, and here it is 55381.
- 4
55381 has no twin: neither 55379 nor 55383 is prime.
Primes around the 5625th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5622 | 55343 | 4 |
| 5623 | 55351 | 8 |
| 5624 | 55373 | 22 |
| 5625 | 55381 | 8 |
| 5626 | 55399 | 18 |
| 5627 | 55411 | 12 |
| 5628 | 55439 | 28 |
Questions
What is the 5625th prime number?
55381.
Which prime number is 55381?
55381 is the 5625th prime number.
What is the sum of the first 5625 primes?
146,935,862.