What is the 9304th prime number?
The 9304th prime number is 96643. The next prime is 96661 (a gap of 18) and the one before is 96601.
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 9304th one is 96643.
- 2
96643 is prime because no prime up to ā96643 ā 310.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9304th prime is close to 9304 Ć ln(9304) ā 85022, and here it is 96643.
- 4
96643 has no twin: neither 96641 nor 96645 is prime.
Primes around the 9304th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9301 | 96587 | 6 |
| 9302 | 96589 | 2 |
| 9303 | 96601 | 12 |
| 9304 | 96643 | 42 |
| 9305 | 96661 | 18 |
| 9306 | 96667 | 6 |
| 9307 | 96671 | 4 |
Questions
What is the 9304th prime number?
96643.
Which prime number is 96643?
96643 is the 9304th prime number.
What is the sum of the first 9304 primes?
426,072,937.