What is the 9038th prime number?
The 9038th prime number is 93581. The next prime is 93601 (a gap of 20) and the one before is 93563.
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 9038th one is 93581.
- 2
93581 is prime because no prime up to ā93581 ā 305.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9038th prime is close to 9038 Ć ln(9038) ā 82329, and here it is 93581.
- 4
93581 has no twin: neither 93579 nor 93583 is prime.
Primes around the 9038th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9035 | 93557 | 4 |
| 9036 | 93559 | 2 |
| 9037 | 93563 | 4 |
| 9038 | 93581 | 18 |
| 9039 | 93601 | 20 |
| 9040 | 93607 | 6 |
| 9041 | 93629 | 22 |
Questions
What is the 9038th prime number?
93581.
Which prime number is 93581?
93581 is the 9038th prime number.
What is the sum of the first 9038 primes?
400,768,049.