What is the 9030th prime number?
The 9030th prime number is 93497. The next prime is 93503 (a gap of 6) and the one before is 93493.
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 9030th one is 93497.
- 2
93497 is prime because no prime up to ā93497 ā 305.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9030th prime is close to 9030 Ć ln(9030) ā 82248, and here it is 93497.
- 4
93497 has no twin: neither 93495 nor 93499 is prime.
Primes around the 9030th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9027 | 93487 | 6 |
| 9028 | 93491 | 4 |
| 9029 | 93493 | 2 |
| 9030 | 93497 | 4 |
| 9031 | 93503 | 6 |
| 9032 | 93523 | 20 |
| 9033 | 93529 | 6 |
Questions
What is the 9030th prime number?
93497.
Which prime number is 93497?
93497 is the 9030th prime number.
What is the sum of the first 9030 primes?
400,019,681.