What is the 8902nd prime number?
The 8902nd prime number is 92179. The next prime is 92189 (a gap of 10) and the one before is 92177.
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 8902nd one is 92179.
- 2
92179 is prime because no prime up to ā92179 ā 303.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8902nd prime is close to 8902 Ć ln(8902) ā 80955, and here it is 92179.
- 4
92179 is a twin prime: 92177 and 92179 are both prime.
Primes around the 8902nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8899 | 92153 | 10 |
| 8900 | 92173 | 20 |
| 8901 | 92177 | 4 |
| 8902 | 92179 | 2 |
| 8903 | 92189 | 10 |
| 8904 | 92203 | 14 |
| 8905 | 92219 | 16 |
Questions
What is the 8902nd prime number?
92179.
Which prime number is 92179?
92179 is the 8902nd prime number.
What is the sum of the first 8902 primes?
388,137,543.