What is the 9372nd prime number?
The 9372nd prime number is 97453. The next prime is 97459 (a gap of 6) and the one before is 97441.
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 9372nd one is 97453.
- 2
97453 is prime because no prime up to ā97453 ā 312.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9372nd prime is close to 9372 Ć ln(9372) ā 85711, and here it is 97453.
- 4
97453 has no twin: neither 97451 nor 97455 is prime.
Primes around the 9372nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9369 | 97423 | 26 |
| 9370 | 97429 | 6 |
| 9371 | 97441 | 12 |
| 9372 | 97453 | 12 |
| 9373 | 97459 | 6 |
| 9374 | 97463 | 4 |
| 9375 | 97499 | 36 |
Questions
What is the 9372nd prime number?
97453.
Which prime number is 97453?
97453 is the 9372nd prime number.
What is the sum of the first 9372 primes?
432,671,561.