What is the 2323rd prime number?
The 2323rd prime number is 20599. The next prime is 20611 (a gap of 12) and the one before is 20593.
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 2323rd one is 20599.
- 2
20599 is prime because no prime up to ā20599 ā 143.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2323rd prime is close to 2323 Ć ln(2323) ā 18005, and here it is 20599.
- 4
20599 has no twin: neither 20597 nor 20601 is prime.
Primes around the 2323rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2320 | 20551 | 2 |
| 2321 | 20563 | 12 |
| 2322 | 20593 | 30 |
| 2323 | 20599 | 6 |
| 2324 | 20611 | 12 |
| 2325 | 20627 | 16 |
| 2326 | 20639 | 12 |
Questions
What is the 2323rd prime number?
20599.
Which prime number is 20599?
20599 is the 2323rd prime number.
What is the sum of the first 2323 primes?
22,408,996.