What is the 9010th prime number?
The 9010th prime number is 93281. The next prime is 93283 (a gap of 2) and the one before is 93263.
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 9010th one is 93281.
- 2
93281 is prime because no prime up to ā93281 ā 305.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9010th prime is close to 9010 Ć ln(9010) ā 82046, and here it is 93281.
- 4
93281 is a twin prime: 93281 and 93283 are both prime.
Primes around the 9010th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9007 | 93253 | 2 |
| 9008 | 93257 | 4 |
| 9009 | 93263 | 6 |
| 9010 | 93281 | 18 |
| 9011 | 93283 | 2 |
| 9012 | 93287 | 4 |
| 9013 | 93307 | 20 |
Questions
What is the 9010th prime number?
93281.
Which prime number is 93281?
93281 is the 9010th prime number.
What is the sum of the first 9010 primes?
398,151,721.