What is the 8279th prime number?
The 8279th prime number is 85021. The next prime is 85027 (a gap of 6) and the one before is 85009.
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 8279th one is 85021.
- 2
85021 is prime because no prime up to ā85021 ā 291.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8279th prime is close to 8279 Ć ln(8279) ā 74689, and here it is 85021.
- 4
85021 has no twin: neither 85019 nor 85023 is prime.
Primes around the 8279th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8276 | 84979 | 2 |
| 8277 | 84991 | 12 |
| 8278 | 85009 | 18 |
| 8279 | 85021 | 12 |
| 8280 | 85027 | 6 |
| 8281 | 85037 | 10 |
| 8282 | 85049 | 12 |
Questions
What is the 8279th prime number?
85021.
Which prime number is 85021?
85021 is the 8279th prime number.
What is the sum of the first 8279 primes?
332,942,310.