What is the 8192nd prime number?
The 8192nd prime number is 84017. The next prime is 84047 (a gap of 30) and the one before is 84011.
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 8192nd one is 84017.
- 2
84017 is prime because no prime up to ā84017 ā 289.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8192nd prime is close to 8192 Ć ln(8192) ā 73817, and here it is 84017.
- 4
84017 has no twin: neither 84015 nor 84019 is prime.
Primes around the 8192nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8189 | 83983 | 14 |
| 8190 | 83987 | 4 |
| 8191 | 84011 | 24 |
| 8192 | 84017 | 6 |
| 8193 | 84047 | 30 |
| 8194 | 84053 | 6 |
| 8195 | 84059 | 6 |
Questions
What is the 8192nd prime number?
84017.
Which prime number is 84017?
84017 is the 8192nd prime number.
What is the sum of the first 8192 primes?
325,590,115.