What is the 8168th prime number?
The 8168th prime number is 83701. The next prime is 83717 (a gap of 16) and the one before is 83689.
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 8168th one is 83701.
- 2
83701 is prime because no prime up to ā83701 ā 289.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8168th prime is close to 8168 Ć ln(8168) ā 73577, and here it is 83701.
- 4
83701 has no twin: neither 83699 nor 83703 is prime.
Primes around the 8168th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8165 | 83653 | 12 |
| 8166 | 83663 | 10 |
| 8167 | 83689 | 26 |
| 8168 | 83701 | 12 |
| 8169 | 83717 | 16 |
| 8170 | 83719 | 2 |
| 8171 | 83737 | 18 |
Questions
What is the 8168th prime number?
83701.
Which prime number is 83701?
83701 is the 8168th prime number.
What is the sum of the first 8168 primes?
323,577,287.