What is the 8287th prime number?
The 8287th prime number is 85093. The next prime is 85103 (a gap of 10) and the one before is 85091.
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 8287th one is 85093.
- 2
85093 is prime because no prime up to ā85093 ā 291.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8287th prime is close to 8287 Ć ln(8287) ā 74769, and here it is 85093.
- 4
85093 is a twin prime: 85091 and 85093 are both prime.
Primes around the 8287th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8284 | 85081 | 20 |
| 8285 | 85087 | 6 |
| 8286 | 85091 | 4 |
| 8287 | 85093 | 2 |
| 8288 | 85103 | 10 |
| 8289 | 85109 | 6 |
| 8290 | 85121 | 12 |
Questions
What is the 8287th prime number?
85093.
Which prime number is 85093?
85093 is the 8287th prime number.
What is the sum of the first 8287 primes?
333,622,836.