What is the 8922nd prime number?
The 8922nd prime number is 92377. The next prime is 92381 (a gap of 4) and the one before is 92369.
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 8922nd one is 92377.
- 2
92377 is prime because no prime up to ā92377 ā 303.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8922nd prime is close to 8922 Ć ln(8922) ā 81157, and here it is 92377.
- 4
92377 has no twin: neither 92375 nor 92379 is prime.
Primes around the 8922nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8919 | 92357 | 4 |
| 8920 | 92363 | 6 |
| 8921 | 92369 | 6 |
| 8922 | 92377 | 8 |
| 8923 | 92381 | 4 |
| 8924 | 92383 | 2 |
| 8925 | 92387 | 4 |
Questions
What is the 8922nd prime number?
92377.
Which prime number is 92377?
92377 is the 8922nd prime number.
What is the sum of the first 8922 primes?
389,983,259.