What is the 8331st prime number?
The 8331st prime number is 85607. The next prime is 85619 (a gap of 12) and the one before is 85601.
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 8331st one is 85607.
- 2
85607 is prime because no prime up to ā85607 ā 292.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8331st prime is close to 8331 Ć ln(8331) ā 75210, and here it is 85607.
- 4
85607 has no twin: neither 85605 nor 85609 is prime.
Primes around the 8331st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8328 | 85577 | 6 |
| 8329 | 85597 | 20 |
| 8330 | 85601 | 4 |
| 8331 | 85607 | 6 |
| 8332 | 85619 | 12 |
| 8333 | 85621 | 2 |
| 8334 | 85627 | 6 |
Questions
What is the 8331st prime number?
85607.
Which prime number is 85607?
85607 is the 8331st prime number.
What is the sum of the first 8331 primes?
337,378,502.