What is the 8924th prime number?
The 8924th prime number is 92383. The next prime is 92387 (a gap of 4) and the one before is 92381.
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 8924th one is 92383.
- 2
92383 is prime because no prime up to ā92383 ā 303.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8924th prime is close to 8924 Ć ln(8924) ā 81177, and here it is 92383.
- 4
92383 is a twin prime: 92381 and 92383 are both prime.
Primes around the 8924th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8921 | 92369 | 6 |
| 8922 | 92377 | 8 |
| 8923 | 92381 | 4 |
| 8924 | 92383 | 2 |
| 8925 | 92387 | 4 |
| 8926 | 92399 | 12 |
| 8927 | 92401 | 2 |
Questions
What is the 8924th prime number?
92383.
Which prime number is 92383?
92383 is the 8924th prime number.
What is the sum of the first 8924 primes?
390,168,023.