What is the 2322nd prime number?
The 2322nd prime number is 20593. The next prime is 20599 (a gap of 6) and the one before is 20563.
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 2322nd one is 20593.
- 2
20593 is prime because no prime up to ā20593 ā 143.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2322nd prime is close to 2322 Ć ln(2322) ā 17996, and here it is 20593.
- 4
20593 has no twin: neither 20591 nor 20595 is prime.
Primes around the 2322nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2319 | 20549 | 6 |
| 2320 | 20551 | 2 |
| 2321 | 20563 | 12 |
| 2322 | 20593 | 30 |
| 2323 | 20599 | 6 |
| 2324 | 20611 | 12 |
| 2325 | 20627 | 16 |
Questions
What is the 2322nd prime number?
20593.
Which prime number is 20593?
20593 is the 2322nd prime number.
What is the sum of the first 2322 primes?
22,388,397.