What is the 9040th prime number?
The 9040th prime number is 93607. The next prime is 93629 (a gap of 22) and the one before is 93601.
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 9040th one is 93607.
- 2
93607 is prime because no prime up to ā93607 ā 305.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9040th prime is close to 9040 Ć ln(9040) ā 82349, and here it is 93607.
- 4
93607 has no twin: neither 93605 nor 93609 is prime.
Primes around the 9040th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9037 | 93563 | 4 |
| 9038 | 93581 | 18 |
| 9039 | 93601 | 20 |
| 9040 | 93607 | 6 |
| 9041 | 93629 | 22 |
| 9042 | 93637 | 8 |
| 9043 | 93683 | 46 |
Questions
What is the 9040th prime number?
93607.
Which prime number is 93607?
93607 is the 9040th prime number.
What is the sum of the first 9040 primes?
400,955,257.