What is the 8284th prime number?
The 8284th prime number is 85081. The next prime is 85087 (a gap of 6) and the one before is 85061.
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 8284th one is 85081.
- 2
85081 is prime because no prime up to ā85081 ā 291.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8284th prime is close to 8284 Ć ln(8284) ā 74739, and here it is 85081.
- 4
85081 has no twin: neither 85079 nor 85083 is prime.
Primes around the 8284th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8281 | 85037 | 10 |
| 8282 | 85049 | 12 |
| 8283 | 85061 | 12 |
| 8284 | 85081 | 20 |
| 8285 | 85087 | 6 |
| 8286 | 85091 | 4 |
| 8287 | 85093 | 2 |
Questions
What is the 8284th prime number?
85081.
Which prime number is 85081?
85081 is the 8284th prime number.
What is the sum of the first 8284 primes?
333,367,565.