What is the 8308th prime number?
The 8308th prime number is 85333. The next prime is 85361 (a gap of 28) and the one before is 85331.
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 8308th one is 85333.
- 2
85333 is prime because no prime up to ā85333 ā 292.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8308th prime is close to 8308 Ć ln(8308) ā 74979, and here it is 85333.
- 4
85333 is a twin prime: 85331 and 85333 are both prime.
Primes around the 8308th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8305 | 85303 | 6 |
| 8306 | 85313 | 10 |
| 8307 | 85331 | 18 |
| 8308 | 85333 | 2 |
| 8309 | 85361 | 28 |
| 8310 | 85363 | 2 |
| 8311 | 85369 | 6 |
Questions
What is the 8308th prime number?
85333.
Which prime number is 85333?
85333 is the 8308th prime number.
What is the sum of the first 8308 primes?
335,412,429.