What is the 9029th prime number?
The 9029th prime number is 93493. The next prime is 93497 (a gap of 4) and the one before is 93491.
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 9029th one is 93493.
- 2
93493 is prime because no prime up to ā93493 ā 305.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9029th prime is close to 9029 Ć ln(9029) ā 82238, and here it is 93493.
- 4
93493 is a twin prime: 93491 and 93493 are both prime.
Primes around the 9029th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9026 | 93481 | 2 |
| 9027 | 93487 | 6 |
| 9028 | 93491 | 4 |
| 9029 | 93493 | 2 |
| 9030 | 93497 | 4 |
| 9031 | 93503 | 6 |
| 9032 | 93523 | 20 |
Questions
What is the 9029th prime number?
93493.
Which prime number is 93493?
93493 is the 9029th prime number.
What is the sum of the first 9029 primes?
399,926,184.