What is the 8927th prime number?
The 8927th prime number is 92401. The next prime is 92413 (a gap of 12) and the one before is 92399.
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 8927th one is 92401.
- 2
92401 is prime because no prime up to ā92401 ā 303.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8927th prime is close to 8927 Ć ln(8927) ā 81207, and here it is 92401.
- 4
92401 is a twin prime: 92399 and 92401 are both prime.
Primes around the 8927th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8924 | 92383 | 2 |
| 8925 | 92387 | 4 |
| 8926 | 92399 | 12 |
| 8927 | 92401 | 2 |
| 8928 | 92413 | 12 |
| 8929 | 92419 | 6 |
| 8930 | 92431 | 12 |
Questions
What is the 8927th prime number?
92401.
Which prime number is 92401?
92401 is the 8927th prime number.
What is the sum of the first 8927 primes?
390,445,210.