What is the 5624th prime number?
The 5624th prime number is 55373. The next prime is 55381 (a gap of 8) and the one before is 55351.
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 5624th one is 55373.
- 2
55373 is prime because no prime up to ā55373 ā 235.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5624th prime is close to 5624 Ć ln(5624) ā 48562, and here it is 55373.
- 4
55373 has no twin: neither 55371 nor 55375 is prime.
Primes around the 5624th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5621 | 55339 | 2 |
| 5622 | 55343 | 4 |
| 5623 | 55351 | 8 |
| 5624 | 55373 | 22 |
| 5625 | 55381 | 8 |
| 5626 | 55399 | 18 |
| 5627 | 55411 | 12 |
Questions
What is the 5624th prime number?
55373.
Which prime number is 55373?
55373 is the 5624th prime number.
What is the sum of the first 5624 primes?
146,880,481.