What is the 9091st prime number?
The 9091st prime number is 94261. The next prime is 94273 (a gap of 12) and the one before is 94253.
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 9091st one is 94261.
- 2
94261 is prime because no prime up to ā94261 ā 307.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9091st prime is close to 9091 Ć ln(9091) ā 82865, and here it is 94261.
- 4
94261 has no twin: neither 94259 nor 94263 is prime.
Primes around the 9091st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9088 | 94219 | 12 |
| 9089 | 94229 | 10 |
| 9090 | 94253 | 24 |
| 9091 | 94261 | 8 |
| 9092 | 94273 | 12 |
| 9093 | 94291 | 18 |
| 9094 | 94307 | 16 |
Questions
What is the 9091st prime number?
94261.
Which prime number is 94261?
94261 is the 9091st prime number.
What is the sum of the first 9091 primes?
405,747,286.