What is the 2321st prime number?
The 2321st prime number is 20563. The next prime is 20593 (a gap of 30) and the one before is 20551.
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 2321st one is 20563.
- 2
20563 is prime because no prime up to ā20563 ā 143.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2321st prime is close to 2321 Ć ln(2321) ā 17987, and here it is 20563.
- 4
20563 has no twin: neither 20561 nor 20565 is prime.
Primes around the 2321st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2318 | 20543 | 10 |
| 2319 | 20549 | 6 |
| 2320 | 20551 | 2 |
| 2321 | 20563 | 12 |
| 2322 | 20593 | 30 |
| 2323 | 20599 | 6 |
| 2324 | 20611 | 12 |
Questions
What is the 2321st prime number?
20563.
Which prime number is 20563?
20563 is the 2321st prime number.
What is the sum of the first 2321 primes?
22,367,804.