What is the 8170th prime number?
The 8170th prime number is 83719. The next prime is 83737 (a gap of 18) and the one before is 83717.
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 8170th one is 83719.
- 2
83719 is prime because no prime up to ā83719 ā 289.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8170th prime is close to 8170 Ć ln(8170) ā 73597, and here it is 83719.
- 4
83719 is a twin prime: 83717 and 83719 are both prime.
Primes around the 8170th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8167 | 83689 | 26 |
| 8168 | 83701 | 12 |
| 8169 | 83717 | 16 |
| 8170 | 83719 | 2 |
| 8171 | 83737 | 18 |
| 8172 | 83761 | 24 |
| 8173 | 83773 | 12 |
Questions
What is the 8170th prime number?
83719.
Which prime number is 83719?
83719 is the 8170th prime number.
What is the sum of the first 8170 primes?
323,744,723.