What is the 8330th prime number?
The 8330th prime number is 85601. The next prime is 85607 (a gap of 6) and the one before is 85597.
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 8330th one is 85601.
- 2
85601 is prime because no prime up to ā85601 ā 292.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8330th prime is close to 8330 Ć ln(8330) ā 75200, and here it is 85601.
- 4
85601 has no twin: neither 85599 nor 85603 is prime.
Primes around the 8330th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8327 | 85571 | 22 |
| 8328 | 85577 | 6 |
| 8329 | 85597 | 20 |
| 8330 | 85601 | 4 |
| 8331 | 85607 | 6 |
| 8332 | 85619 | 12 |
| 8333 | 85621 | 2 |
Questions
What is the 8330th prime number?
85601.
Which prime number is 85601?
85601 is the 8330th prime number.
What is the sum of the first 8330 primes?
337,292,895.