What is the 9370th prime number?
The 9370th prime number is 97429. The next prime is 97441 (a gap of 12) and the one before is 97423.
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 9370th one is 97429.
- 2
97429 is prime because no prime up to ā97429 ā 312.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9370th prime is close to 9370 Ć ln(9370) ā 85691, and here it is 97429.
- 4
97429 has no twin: neither 97427 nor 97431 is prime.
Primes around the 9370th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9367 | 97387 | 6 |
| 9368 | 97397 | 10 |
| 9369 | 97423 | 26 |
| 9370 | 97429 | 6 |
| 9371 | 97441 | 12 |
| 9372 | 97453 | 12 |
| 9373 | 97459 | 6 |
Questions
What is the 9370th prime number?
97429.
Which prime number is 97429?
97429 is the 9370th prime number.
What is the sum of the first 9370 primes?
432,476,667.