What is the 2327th prime number?
The 2327th prime number is 20641. The next prime is 20663 (a gap of 22) and the one before is 20639.
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 2327th one is 20641.
- 2
20641 is prime because no prime up to ā20641 ā 143.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2327th prime is close to 2327 Ć ln(2327) ā 18040, and here it is 20641.
- 4
20641 is a twin prime: 20639 and 20641 are both prime.
Primes around the 2327th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2324 | 20611 | 12 |
| 2325 | 20627 | 16 |
| 2326 | 20639 | 12 |
| 2327 | 20641 | 2 |
| 2328 | 20663 | 22 |
| 2329 | 20681 | 18 |
| 2330 | 20693 | 12 |
Questions
What is the 2327th prime number?
20641.
Which prime number is 20641?
20641 is the 2327th prime number.
What is the sum of the first 2327 primes?
22,491,514.