What is the 8925th prime number?
The 8925th prime number is 92387. The next prime is 92399 (a gap of 12) and the one before is 92383.
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 8925th one is 92387.
- 2
92387 is prime because no prime up to ā92387 ā 303.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8925th prime is close to 8925 Ć ln(8925) ā 81187, and here it is 92387.
- 4
92387 has no twin: neither 92385 nor 92389 is prime.
Primes around the 8925th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8922 | 92377 | 8 |
| 8923 | 92381 | 4 |
| 8924 | 92383 | 2 |
| 8925 | 92387 | 4 |
| 8926 | 92399 | 12 |
| 8927 | 92401 | 2 |
| 8928 | 92413 | 12 |
Questions
What is the 8925th prime number?
92387.
Which prime number is 92387?
92387 is the 8925th prime number.
What is the sum of the first 8925 primes?
390,260,410.