What is the 8285th prime number?
The 8285th prime number is 85087. The next prime is 85091 (a gap of 4) and the one before is 85081.
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 8285th one is 85087.
- 2
85087 is prime because no prime up to ā85087 ā 291.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8285th prime is close to 8285 Ć ln(8285) ā 74749, and here it is 85087.
- 4
85087 has no twin: neither 85085 nor 85089 is prime.
Primes around the 8285th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8282 | 85049 | 12 |
| 8283 | 85061 | 12 |
| 8284 | 85081 | 20 |
| 8285 | 85087 | 6 |
| 8286 | 85091 | 4 |
| 8287 | 85093 | 2 |
| 8288 | 85103 | 10 |
Questions
What is the 8285th prime number?
85087.
Which prime number is 85087?
85087 is the 8285th prime number.
What is the sum of the first 8285 primes?
333,452,652.