What is the 9089th prime number?
The 9089th prime number is 94229. The next prime is 94253 (a gap of 24) and the one before is 94219.
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 9089th one is 94229.
- 2
94229 is prime because no prime up to ā94229 ā 306.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9089th prime is close to 9089 Ć ln(9089) ā 82845, and here it is 94229.
- 4
94229 has no twin: neither 94227 nor 94231 is prime.
Primes around the 9089th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9086 | 94201 | 32 |
| 9087 | 94207 | 6 |
| 9088 | 94219 | 12 |
| 9089 | 94229 | 10 |
| 9090 | 94253 | 24 |
| 9091 | 94261 | 8 |
| 9092 | 94273 | 12 |
Questions
What is the 9089th prime number?
94229.
Which prime number is 94229?
94229 is the 9089th prime number.
What is the sum of the first 9089 primes?
405,558,772.