What is the 9000th prime number?
The 9000th prime number is 93179. The next prime is 93187 (a gap of 8) and the one before is 93169.
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 9000th one is 93179.
- 2
93179 is prime because no prime up to ā93179 ā 305.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9000th prime is close to 9000 Ć ln(9000) ā 81945, and here it is 93179.
- 4
93179 has no twin: neither 93177 nor 93181 is prime.
Primes around the 9000th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8997 | 93139 | 6 |
| 8998 | 93151 | 12 |
| 8999 | 93169 | 18 |
| 9000 | 93179 | 10 |
| 9001 | 93187 | 8 |
| 9002 | 93199 | 12 |
| 9003 | 93229 | 30 |
Questions
What is the 9000th prime number?
93179.
Which prime number is 93179?
93179 is the 9000th prime number.
What is the sum of the first 9000 primes?
397,219,321.