What is the 9090th prime number?
The 9090th prime number is 94253. The next prime is 94261 (a gap of 8) and the one before is 94229.
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 9090th one is 94253.
- 2
94253 is prime because no prime up to ā94253 ā 307.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9090th prime is close to 9090 Ć ln(9090) ā 82855, and here it is 94253.
- 4
94253 has no twin: neither 94251 nor 94255 is prime.
Primes around the 9090th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9087 | 94207 | 6 |
| 9088 | 94219 | 12 |
| 9089 | 94229 | 10 |
| 9090 | 94253 | 24 |
| 9091 | 94261 | 8 |
| 9092 | 94273 | 12 |
| 9093 | 94291 | 18 |
Questions
What is the 9090th prime number?
94253.
Which prime number is 94253?
94253 is the 9090th prime number.
What is the sum of the first 9090 primes?
405,653,025.