What is the 8362nd prime number?
The 8362nd prime number is 85999. The next prime is 86011 (a gap of 12) and the one before is 85991.
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 8362nd one is 85999.
- 2
85999 is prime because no prime up to ā85999 ā 293.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8362nd prime is close to 8362 Ć ln(8362) ā 75521, and here it is 85999.
- 4
85999 has no twin: neither 85997 nor 86001 is prime.
Primes around the 8362nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8359 | 85931 | 22 |
| 8360 | 85933 | 2 |
| 8361 | 85991 | 58 |
| 8362 | 85999 | 8 |
| 8363 | 86011 | 12 |
| 8364 | 86017 | 6 |
| 8365 | 86027 | 10 |
Questions
What is the 8362nd prime number?
85999.
Which prime number is 85999?
85999 is the 8362nd prime number.
What is the sum of the first 8362 primes?
340,037,759.