What is the 8304th prime number?
The 8304th prime number is 85297. The next prime is 85303 (a gap of 6) and the one before is 85259.
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 8304th one is 85297.
- 2
85297 is prime because no prime up to ā85297 ā 292.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8304th prime is close to 8304 Ć ln(8304) ā 74939, and here it is 85297.
- 4
85297 has no twin: neither 85295 nor 85299 is prime.
Primes around the 8304th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8301 | 85243 | 6 |
| 8302 | 85247 | 4 |
| 8303 | 85259 | 12 |
| 8304 | 85297 | 38 |
| 8305 | 85303 | 6 |
| 8306 | 85313 | 10 |
| 8307 | 85331 | 18 |
Questions
What is the 8304th prime number?
85297.
Which prime number is 85297?
85297 is the 8304th prime number.
What is the sum of the first 8304 primes?
335,071,149.