What is the 8307th prime number?
The 8307th prime number is 85331. The next prime is 85333 (a gap of 2) and the one before is 85313.
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 8307th one is 85331.
- 2
85331 is prime because no prime up to ā85331 ā 292.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8307th prime is close to 8307 Ć ln(8307) ā 74969, and here it is 85331.
- 4
85331 is a twin prime: 85331 and 85333 are both prime.
Primes around the 8307th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8304 | 85297 | 38 |
| 8305 | 85303 | 6 |
| 8306 | 85313 | 10 |
| 8307 | 85331 | 18 |
| 8308 | 85333 | 2 |
| 8309 | 85361 | 28 |
| 8310 | 85363 | 2 |
Questions
What is the 8307th prime number?
85331.
Which prime number is 85331?
85331 is the 8307th prime number.
What is the sum of the first 8307 primes?
335,327,096.