What is the 8932nd prime number?
The 8932nd prime number is 92461. The next prime is 92467 (a gap of 6) and the one before is 92459.
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 8932nd one is 92461.
- 2
92461 is prime because no prime up to ā92461 ā 304.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8932nd prime is close to 8932 Ć ln(8932) ā 81258, and here it is 92461.
- 4
92461 is a twin prime: 92459 and 92461 are both prime.
Primes around the 8932nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8929 | 92419 | 6 |
| 8930 | 92431 | 12 |
| 8931 | 92459 | 28 |
| 8932 | 92461 | 2 |
| 8933 | 92467 | 6 |
| 8934 | 92479 | 12 |
| 8935 | 92489 | 10 |
Questions
What is the 8932nd prime number?
92461.
Which prime number is 92461?
92461 is the 8932nd prime number.
What is the sum of the first 8932 primes?
390,907,393.