What is the 8901st prime number?
The 8901st prime number is 92177. The next prime is 92179 (a gap of 2) and the one before is 92173.
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 8901st one is 92177.
- 2
92177 is prime because no prime up to ā92177 ā 303.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8901st prime is close to 8901 Ć ln(8901) ā 80945, and here it is 92177.
- 4
92177 is a twin prime: 92177 and 92179 are both prime.
Primes around the 8901st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8898 | 92143 | 24 |
| 8899 | 92153 | 10 |
| 8900 | 92173 | 20 |
| 8901 | 92177 | 4 |
| 8902 | 92179 | 2 |
| 8903 | 92189 | 10 |
| 8904 | 92203 | 14 |
Questions
What is the 8901st prime number?
92177.
Which prime number is 92177?
92177 is the 8901st prime number.
What is the sum of the first 8901 primes?
388,045,364.