What is the 9373rd prime number?
The 9373rd prime number is 97459. The next prime is 97463 (a gap of 4) and the one before is 97453.
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 9373rd one is 97459.
- 2
97459 is prime because no prime up to ā97459 ā 312.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9373rd prime is close to 9373 Ć ln(9373) ā 85722, and here it is 97459.
- 4
97459 has no twin: neither 97457 nor 97461 is prime.
Primes around the 9373rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9370 | 97429 | 6 |
| 9371 | 97441 | 12 |
| 9372 | 97453 | 12 |
| 9373 | 97459 | 6 |
| 9374 | 97463 | 4 |
| 9375 | 97499 | 36 |
| 9376 | 97501 | 2 |
Questions
What is the 9373rd prime number?
97459.
Which prime number is 97459?
97459 is the 9373rd prime number.
What is the sum of the first 9373 primes?
432,769,020.