What is the 9011th prime number?
The 9011th prime number is 93283. The next prime is 93287 (a gap of 4) and the one before is 93281.
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 9011th one is 93283.
- 2
93283 is prime because no prime up to ā93283 ā 305.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9011th prime is close to 9011 Ć ln(9011) ā 82056, and here it is 93283.
- 4
93283 is a twin prime: 93281 and 93283 are both prime.
Primes around the 9011th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9008 | 93257 | 4 |
| 9009 | 93263 | 6 |
| 9010 | 93281 | 18 |
| 9011 | 93283 | 2 |
| 9012 | 93287 | 4 |
| 9013 | 93307 | 20 |
| 9014 | 93319 | 12 |
Questions
What is the 9011th prime number?
93283.
Which prime number is 93283?
93283 is the 9011th prime number.
What is the sum of the first 9011 primes?
398,245,004.