What is the 9371st prime number?
The 9371st prime number is 97441. The next prime is 97453 (a gap of 12) and the one before is 97429.
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 9371st one is 97441.
- 2
97441 is prime because no prime up to ā97441 ā 312.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9371st prime is close to 9371 Ć ln(9371) ā 85701, and here it is 97441.
- 4
97441 has no twin: neither 97439 nor 97443 is prime.
Primes around the 9371st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9368 | 97397 | 10 |
| 9369 | 97423 | 26 |
| 9370 | 97429 | 6 |
| 9371 | 97441 | 12 |
| 9372 | 97453 | 12 |
| 9373 | 97459 | 6 |
| 9374 | 97463 | 4 |
Questions
What is the 9371st prime number?
97441.
Which prime number is 97441?
97441 is the 9371st prime number.
What is the sum of the first 9371 primes?
432,574,108.