What is the 5623rd prime number?
The 5623rd prime number is 55351. The next prime is 55373 (a gap of 22) and the one before is 55343.
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 5623rd one is 55351.
- 2
55351 is prime because no prime up to ā55351 ā 235.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5623rd prime is close to 5623 Ć ln(5623) ā 48552, and here it is 55351.
- 4
55351 has no twin: neither 55349 nor 55353 is prime.
Primes around the 5623rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5620 | 55337 | 4 |
| 5621 | 55339 | 2 |
| 5622 | 55343 | 4 |
| 5623 | 55351 | 8 |
| 5624 | 55373 | 22 |
| 5625 | 55381 | 8 |
| 5626 | 55399 | 18 |
Questions
What is the 5623rd prime number?
55351.
Which prime number is 55351?
55351 is the 5623rd prime number.
What is the sum of the first 5623 primes?
146,825,108.