What is the 8165th prime number?
The 8165th prime number is 83653. The next prime is 83663 (a gap of 10) and the one before is 83641.
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 8165th one is 83653.
- 2
83653 is prime because no prime up to ā83653 ā 289.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8165th prime is close to 8165 Ć ln(8165) ā 73547, and here it is 83653.
- 4
83653 has no twin: neither 83651 nor 83655 is prime.
Primes around the 8165th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8162 | 83621 | 4 |
| 8163 | 83639 | 18 |
| 8164 | 83641 | 2 |
| 8165 | 83653 | 12 |
| 8166 | 83663 | 10 |
| 8167 | 83689 | 26 |
| 8168 | 83701 | 12 |
Questions
What is the 8165th prime number?
83653.
Which prime number is 83653?
83653 is the 8165th prime number.
What is the sum of the first 8165 primes?
323,326,234.