What is the 9012th prime number?
The 9012th prime number is 93287. The next prime is 93307 (a gap of 20) and the one before is 93283.
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 9012th one is 93287.
- 2
93287 is prime because no prime up to ā93287 ā 305.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9012th prime is close to 9012 Ć ln(9012) ā 82066, and here it is 93287.
- 4
93287 has no twin: neither 93285 nor 93289 is prime.
Primes around the 9012th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9009 | 93263 | 6 |
| 9010 | 93281 | 18 |
| 9011 | 93283 | 2 |
| 9012 | 93287 | 4 |
| 9013 | 93307 | 20 |
| 9014 | 93319 | 12 |
| 9015 | 93323 | 4 |
Questions
What is the 9012th prime number?
93287.
Which prime number is 93287?
93287 is the 9012th prime number.
What is the sum of the first 9012 primes?
398,338,291.