What is the 8306th prime number?
The 8306th prime number is 85313. The next prime is 85331 (a gap of 18) and the one before is 85303.
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 8306th one is 85313.
- 2
85313 is prime because no prime up to ā85313 ā 292.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8306th prime is close to 8306 Ć ln(8306) ā 74959, and here it is 85313.
- 4
85313 has no twin: neither 85311 nor 85315 is prime.
Primes around the 8306th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8303 | 85259 | 12 |
| 8304 | 85297 | 38 |
| 8305 | 85303 | 6 |
| 8306 | 85313 | 10 |
| 8307 | 85331 | 18 |
| 8308 | 85333 | 2 |
| 8309 | 85361 | 28 |
Questions
What is the 8306th prime number?
85313.
Which prime number is 85313?
85313 is the 8306th prime number.
What is the sum of the first 8306 primes?
335,241,765.