What is the 8926th prime number?
The 8926th prime number is 92399. The next prime is 92401 (a gap of 2) and the one before is 92387.
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 8926th one is 92399.
- 2
92399 is prime because no prime up to ā92399 ā 303.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8926th prime is close to 8926 Ć ln(8926) ā 81197, and here it is 92399.
- 4
92399 is a twin prime: 92399 and 92401 are both prime.
Primes around the 8926th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8923 | 92381 | 4 |
| 8924 | 92383 | 2 |
| 8925 | 92387 | 4 |
| 8926 | 92399 | 12 |
| 8927 | 92401 | 2 |
| 8928 | 92413 | 12 |
| 8929 | 92419 | 6 |
Questions
What is the 8926th prime number?
92399.
Which prime number is 92399?
92399 is the 8926th prime number.
What is the sum of the first 8926 primes?
390,352,809.