What is the 9095th prime number?
The 9095th prime number is 94309. The next prime is 94321 (a gap of 12) and the one before is 94307.
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 9095th one is 94309.
- 2
94309 is prime because no prime up to ā94309 ā 307.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9095th prime is close to 9095 Ć ln(9095) ā 82905, and here it is 94309.
- 4
94309 is a twin prime: 94307 and 94309 are both prime.
Primes around the 9095th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9092 | 94273 | 12 |
| 9093 | 94291 | 18 |
| 9094 | 94307 | 16 |
| 9095 | 94309 | 2 |
| 9096 | 94321 | 12 |
| 9097 | 94327 | 6 |
| 9098 | 94331 | 4 |
Questions
What is the 9095th prime number?
94309.
Which prime number is 94309?
94309 is the 9095th prime number.
What is the sum of the first 9095 primes?
406,124,466.