What is the 9028th prime number?
The 9028th prime number is 93491. The next prime is 93493 (a gap of 2) and the one before is 93487.
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 9028th one is 93491.
- 2
93491 is prime because no prime up to ā93491 ā 305.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9028th prime is close to 9028 Ć ln(9028) ā 82228, and here it is 93491.
- 4
93491 is a twin prime: 93491 and 93493 are both prime.
Primes around the 9028th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9025 | 93479 | 16 |
| 9026 | 93481 | 2 |
| 9027 | 93487 | 6 |
| 9028 | 93491 | 4 |
| 9029 | 93493 | 2 |
| 9030 | 93497 | 4 |
| 9031 | 93503 | 6 |
Questions
What is the 9028th prime number?
93491.
Which prime number is 93491?
93491 is the 9028th prime number.
What is the sum of the first 9028 primes?
399,832,691.