What is the 8999th prime number?
The 8999th prime number is 93169. The next prime is 93179 (a gap of 10) and the one before is 93151.
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 8999th one is 93169.
- 2
93169 is prime because no prime up to ā93169 ā 305.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8999th prime is close to 8999 Ć ln(8999) ā 81935, and here it is 93169.
- 4
93169 has no twin: neither 93167 nor 93171 is prime.
Primes around the 8999th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8996 | 93133 | 2 |
| 8997 | 93139 | 6 |
| 8998 | 93151 | 12 |
| 8999 | 93169 | 18 |
| 9000 | 93179 | 10 |
| 9001 | 93187 | 8 |
| 9002 | 93199 | 12 |
Questions
What is the 8999th prime number?
93169.
Which prime number is 93169?
93169 is the 8999th prime number.
What is the sum of the first 8999 primes?
397,126,142.