What is the 9013th prime number?
The 9013th prime number is 93307. The next prime is 93319 (a gap of 12) and the one before is 93287.
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 9013th one is 93307.
- 2
93307 is prime because no prime up to ā93307 ā 305.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9013th prime is close to 9013 Ć ln(9013) ā 82076, and here it is 93307.
- 4
93307 has no twin: neither 93305 nor 93309 is prime.
Primes around the 9013th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9010 | 93281 | 18 |
| 9011 | 93283 | 2 |
| 9012 | 93287 | 4 |
| 9013 | 93307 | 20 |
| 9014 | 93319 | 12 |
| 9015 | 93323 | 4 |
| 9016 | 93329 | 6 |
Questions
What is the 9013th prime number?
93307.
Which prime number is 93307?
93307 is the 9013th prime number.
What is the sum of the first 9013 primes?
398,431,598.