What is the 8933rd prime number?
The 8933rd prime number is 92467. The next prime is 92479 (a gap of 12) and the one before is 92461.
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 8933rd one is 92467.
- 2
92467 is prime because no prime up to ā92467 ā 304.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8933rd prime is close to 8933 Ć ln(8933) ā 81268, and here it is 92467.
- 4
92467 has no twin: neither 92465 nor 92469 is prime.
Primes around the 8933rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8930 | 92431 | 12 |
| 8931 | 92459 | 28 |
| 8932 | 92461 | 2 |
| 8933 | 92467 | 6 |
| 8934 | 92479 | 12 |
| 8935 | 92489 | 10 |
| 8936 | 92503 | 14 |
Questions
What is the 8933rd prime number?
92467.
Which prime number is 92467?
92467 is the 8933rd prime number.
What is the sum of the first 8933 primes?
390,999,860.