What is the 8359th prime number?
The 8359th prime number is 85931. The next prime is 85933 (a gap of 2) and the one before is 85909.
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 8359th one is 85931.
- 2
85931 is prime because no prime up to ā85931 ā 293.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8359th prime is close to 8359 Ć ln(8359) ā 75491, and here it is 85931.
- 4
85931 is a twin prime: 85931 and 85933 are both prime.
Primes around the 8359th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8356 | 85889 | 36 |
| 8357 | 85903 | 14 |
| 8358 | 85909 | 6 |
| 8359 | 85931 | 22 |
| 8360 | 85933 | 2 |
| 8361 | 85991 | 58 |
| 8362 | 85999 | 8 |
Questions
What is the 8359th prime number?
85931.
Which prime number is 85931?
85931 is the 8359th prime number.
What is the sum of the first 8359 primes?
339,779,836.