What is the 8280th prime number?
The 8280th prime number is 85027. The next prime is 85037 (a gap of 10) and the one before is 85021.
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 8280th one is 85027.
- 2
85027 is prime because no prime up to ā85027 ā 291.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8280th prime is close to 8280 Ć ln(8280) ā 74699, and here it is 85027.
- 4
85027 has no twin: neither 85025 nor 85029 is prime.
Primes around the 8280th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8277 | 84991 | 12 |
| 8278 | 85009 | 18 |
| 8279 | 85021 | 12 |
| 8280 | 85027 | 6 |
| 8281 | 85037 | 10 |
| 8282 | 85049 | 12 |
| 8283 | 85061 | 12 |
Questions
What is the 8280th prime number?
85027.
Which prime number is 85027?
85027 is the 8280th prime number.
What is the sum of the first 8280 primes?
333,027,337.