What is the 9301st prime number?
The 9301st prime number is 96587. The next prime is 96589 (a gap of 2) and the one before is 96581.
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 9301st one is 96587.
- 2
96587 is prime because no prime up to ā96587 ā 310.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9301st prime is close to 9301 Ć ln(9301) ā 84991, and here it is 96587.
- 4
96587 is a twin prime: 96587 and 96589 are both prime.
Primes around the 9301st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9298 | 96553 | 26 |
| 9299 | 96557 | 4 |
| 9300 | 96581 | 24 |
| 9301 | 96587 | 6 |
| 9302 | 96589 | 2 |
| 9303 | 96601 | 12 |
| 9304 | 96643 | 42 |
Questions
What is the 9301st prime number?
96587.
Which prime number is 96587?
96587 is the 9301st prime number.
What is the sum of the first 9301 primes?
425,783,104.