What is the 9092nd prime number?
The 9092nd prime number is 94273. The next prime is 94291 (a gap of 18) and the one before is 94261.
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 9092nd one is 94273.
- 2
94273 is prime because no prime up to ā94273 ā 307.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9092nd prime is close to 9092 Ć ln(9092) ā 82875, and here it is 94273.
- 4
94273 has no twin: neither 94271 nor 94275 is prime.
Primes around the 9092nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9089 | 94229 | 10 |
| 9090 | 94253 | 24 |
| 9091 | 94261 | 8 |
| 9092 | 94273 | 12 |
| 9093 | 94291 | 18 |
| 9094 | 94307 | 16 |
| 9095 | 94309 | 2 |
Questions
What is the 9092nd prime number?
94273.
Which prime number is 94273?
94273 is the 9092nd prime number.
What is the sum of the first 9092 primes?
405,841,559.