What is the 9302nd prime number?
The 9302nd prime number is 96589. The next prime is 96601 (a gap of 12) and the one before is 96587.
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 9302nd one is 96589.
- 2
96589 is prime because no prime up to ā96589 ā 310.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9302nd prime is close to 9302 Ć ln(9302) ā 85002, and here it is 96589.
- 4
96589 is a twin prime: 96587 and 96589 are both prime.
Primes around the 9302nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9299 | 96557 | 4 |
| 9300 | 96581 | 24 |
| 9301 | 96587 | 6 |
| 9302 | 96589 | 2 |
| 9303 | 96601 | 12 |
| 9304 | 96643 | 42 |
| 9305 | 96661 | 18 |
Questions
What is the 9302nd prime number?
96589.
Which prime number is 96589?
96589 is the 9302nd prime number.
What is the sum of the first 9302 primes?
425,879,693.