What is the 8360th prime number?
The 8360th prime number is 85933. The next prime is 85991 (a gap of 58) and the one before is 85931.
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 8360th one is 85933.
- 2
85933 is prime because no prime up to ā85933 ā 293.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8360th prime is close to 8360 Ć ln(8360) ā 75501, and here it is 85933.
- 4
85933 is a twin prime: 85931 and 85933 are both prime.
Primes around the 8360th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8357 | 85903 | 14 |
| 8358 | 85909 | 6 |
| 8359 | 85931 | 22 |
| 8360 | 85933 | 2 |
| 8361 | 85991 | 58 |
| 8362 | 85999 | 8 |
| 8363 | 86011 | 12 |
Questions
What is the 8360th prime number?
85933.
Which prime number is 85933?
85933 is the 8360th prime number.
What is the sum of the first 8360 primes?
339,865,769.