What is the 9300th prime number?
The 9300th prime number is 96581. The next prime is 96587 (a gap of 6) and the one before is 96557.
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 9300th one is 96581.
- 2
96581 is prime because no prime up to ā96581 ā 310.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9300th prime is close to 9300 Ć ln(9300) ā 84981, and here it is 96581.
- 4
96581 has no twin: neither 96579 nor 96583 is prime.
Primes around the 9300th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9297 | 96527 | 10 |
| 9298 | 96553 | 26 |
| 9299 | 96557 | 4 |
| 9300 | 96581 | 24 |
| 9301 | 96587 | 6 |
| 9302 | 96589 | 2 |
| 9303 | 96601 | 12 |
Questions
What is the 9300th prime number?
96581.
Which prime number is 96581?
96581 is the 9300th prime number.
What is the sum of the first 9300 primes?
425,686,517.