What is the 8910th prime number?
The 8910th prime number is 92243. The next prime is 92251 (a gap of 8) and the one before is 92237.
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 8910th one is 92243.
- 2
92243 is prime because no prime up to ā92243 ā 303.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8910th prime is close to 8910 Ć ln(8910) ā 81036, and here it is 92243.
- 4
92243 has no twin: neither 92241 nor 92245 is prime.
Primes around the 8910th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8907 | 92227 | 6 |
| 8908 | 92233 | 6 |
| 8909 | 92237 | 4 |
| 8910 | 92243 | 6 |
| 8911 | 92251 | 8 |
| 8912 | 92269 | 18 |
| 8913 | 92297 | 28 |
Questions
What is the 8910th prime number?
92243.
Which prime number is 92243?
92243 is the 8910th prime number.
What is the sum of the first 8910 primes?
388,875,315.