What is the 9374th prime number?
The 9374th prime number is 97463. The next prime is 97499 (a gap of 36) and the one before is 97459.
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 9374th one is 97463.
- 2
97463 is prime because no prime up to ā97463 ā 312.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9374th prime is close to 9374 Ć ln(9374) ā 85732, and here it is 97463.
- 4
97463 has no twin: neither 97461 nor 97465 is prime.
Primes around the 9374th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9371 | 97441 | 12 |
| 9372 | 97453 | 12 |
| 9373 | 97459 | 6 |
| 9374 | 97463 | 4 |
| 9375 | 97499 | 36 |
| 9376 | 97501 | 2 |
| 9377 | 97511 | 10 |
Questions
What is the 9374th prime number?
97463.
Which prime number is 97463?
97463 is the 9374th prime number.
What is the sum of the first 9374 primes?
432,866,483.