What is the 8931st prime number?
The 8931st prime number is 92459. The next prime is 92461 (a gap of 2) and the one before is 92431.
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 8931st one is 92459.
- 2
92459 is prime because no prime up to ā92459 ā 304.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8931st prime is close to 8931 Ć ln(8931) ā 81248, and here it is 92459.
- 4
92459 is a twin prime: 92459 and 92461 are both prime.
Primes around the 8931st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8928 | 92413 | 12 |
| 8929 | 92419 | 6 |
| 8930 | 92431 | 12 |
| 8931 | 92459 | 28 |
| 8932 | 92461 | 2 |
| 8933 | 92467 | 6 |
| 8934 | 92479 | 12 |
Questions
What is the 8931st prime number?
92459.
Which prime number is 92459?
92459 is the 8931st prime number.
What is the sum of the first 8931 primes?
390,814,932.