What is the 8309th prime number?
The 8309th prime number is 85361. The next prime is 85363 (a gap of 2) and the one before is 85333.
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 8309th one is 85361.
- 2
85361 is prime because no prime up to ā85361 ā 292.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8309th prime is close to 8309 Ć ln(8309) ā 74990, and here it is 85361.
- 4
85361 is a twin prime: 85361 and 85363 are both prime.
Primes around the 8309th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8306 | 85313 | 10 |
| 8307 | 85331 | 18 |
| 8308 | 85333 | 2 |
| 8309 | 85361 | 28 |
| 8310 | 85363 | 2 |
| 8311 | 85369 | 6 |
| 8312 | 85381 | 12 |
Questions
What is the 8309th prime number?
85361.
Which prime number is 85361?
85361 is the 8309th prime number.
What is the sum of the first 8309 primes?
335,497,790.