What is the 8167th prime number?
The 8167th prime number is 83689. The next prime is 83701 (a gap of 12) and the one before is 83663.
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 8167th one is 83689.
- 2
83689 is prime because no prime up to ā83689 ā 289.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8167th prime is close to 8167 Ć ln(8167) ā 73567, and here it is 83689.
- 4
83689 has no twin: neither 83687 nor 83691 is prime.
Primes around the 8167th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8164 | 83641 | 2 |
| 8165 | 83653 | 12 |
| 8166 | 83663 | 10 |
| 8167 | 83689 | 26 |
| 8168 | 83701 | 12 |
| 8169 | 83717 | 16 |
| 8170 | 83719 | 2 |
Questions
What is the 8167th prime number?
83689.
Which prime number is 83689?
83689 is the 8167th prime number.
What is the sum of the first 8167 primes?
323,493,586.