What is the 9039th prime number?
The 9039th prime number is 93601. The next prime is 93607 (a gap of 6) and the one before is 93581.
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 9039th one is 93601.
- 2
93601 is prime because no prime up to ā93601 ā 305.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9039th prime is close to 9039 Ć ln(9039) ā 82339, and here it is 93601.
- 4
93601 has no twin: neither 93599 nor 93603 is prime.
Primes around the 9039th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9036 | 93559 | 2 |
| 9037 | 93563 | 4 |
| 9038 | 93581 | 18 |
| 9039 | 93601 | 20 |
| 9040 | 93607 | 6 |
| 9041 | 93629 | 22 |
| 9042 | 93637 | 8 |
Questions
What is the 9039th prime number?
93601.
Which prime number is 93601?
93601 is the 9039th prime number.
What is the sum of the first 9039 primes?
400,861,650.