What is the 9376th prime number?
The 9376th prime number is 97501. The next prime is 97511 (a gap of 10) and the one before is 97499.
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 9376th one is 97501.
- 2
97501 is prime because no prime up to ā97501 ā 312.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9376th prime is close to 9376 Ć ln(9376) ā 85752, and here it is 97501.
- 4
97501 is a twin prime: 97499 and 97501 are both prime.
Primes around the 9376th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9373 | 97459 | 6 |
| 9374 | 97463 | 4 |
| 9375 | 97499 | 36 |
| 9376 | 97501 | 2 |
| 9377 | 97511 | 10 |
| 9378 | 97523 | 12 |
| 9379 | 97547 | 24 |
Questions
What is the 9376th prime number?
97501.
Which prime number is 97501?
97501 is the 9376th prime number.
What is the sum of the first 9376 primes?
433,061,483.