What is the 8923rd prime number?
The 8923rd prime number is 92381. The next prime is 92383 (a gap of 2) and the one before is 92377.
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 8923rd one is 92381.
- 2
92381 is prime because no prime up to ā92381 ā 303.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8923rd prime is close to 8923 Ć ln(8923) ā 81167, and here it is 92381.
- 4
92381 is a twin prime: 92381 and 92383 are both prime.
Primes around the 8923rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8920 | 92363 | 6 |
| 8921 | 92369 | 6 |
| 8922 | 92377 | 8 |
| 8923 | 92381 | 4 |
| 8924 | 92383 | 2 |
| 8925 | 92387 | 4 |
| 8926 | 92399 | 12 |
Questions
What is the 8923rd prime number?
92381.
Which prime number is 92381?
92381 is the 8923rd prime number.
What is the sum of the first 8923 primes?
390,075,640.