What is the 2328th prime number?
The 2328th prime number is 20663. The next prime is 20681 (a gap of 18) and the one before is 20641.
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 2328th one is 20663.
- 2
20663 is prime because no prime up to ā20663 ā 143.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2328th prime is close to 2328 Ć ln(2328) ā 18048, and here it is 20663.
- 4
20663 has no twin: neither 20661 nor 20665 is prime.
Primes around the 2328th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2325 | 20627 | 16 |
| 2326 | 20639 | 12 |
| 2327 | 20641 | 2 |
| 2328 | 20663 | 22 |
| 2329 | 20681 | 18 |
| 2330 | 20693 | 12 |
| 2331 | 20707 | 14 |
Questions
What is the 2328th prime number?
20663.
Which prime number is 20663?
20663 is the 2328th prime number.
What is the sum of the first 2328 primes?
22,512,177.