What is the 8913th prime number?
The 8913th prime number is 92297. The next prime is 92311 (a gap of 14) and the one before is 92269.
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 8913th one is 92297.
- 2
92297 is prime because no prime up to ā92297 ā 303.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8913th prime is close to 8913 Ć ln(8913) ā 81066, and here it is 92297.
- 4
92297 has no twin: neither 92295 nor 92299 is prime.
Primes around the 8913th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8910 | 92243 | 6 |
| 8911 | 92251 | 8 |
| 8912 | 92269 | 18 |
| 8913 | 92297 | 28 |
| 8914 | 92311 | 14 |
| 8915 | 92317 | 6 |
| 8916 | 92333 | 16 |
Questions
What is the 8913th prime number?
92297.
Which prime number is 92297?
92297 is the 8913th prime number.
What is the sum of the first 8913 primes?
389,152,132.