What is the 8166th prime number?
The 8166th prime number is 83663. The next prime is 83689 (a gap of 26) and the one before is 83653.
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 8166th one is 83663.
- 2
83663 is prime because no prime up to ā83663 ā 289.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8166th prime is close to 8166 Ć ln(8166) ā 73557, and here it is 83663.
- 4
83663 has no twin: neither 83661 nor 83665 is prime.
Primes around the 8166th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8163 | 83639 | 18 |
| 8164 | 83641 | 2 |
| 8165 | 83653 | 12 |
| 8166 | 83663 | 10 |
| 8167 | 83689 | 26 |
| 8168 | 83701 | 12 |
| 8169 | 83717 | 16 |
Questions
What is the 8166th prime number?
83663.
Which prime number is 83663?
83663 is the 8166th prime number.
What is the sum of the first 8166 primes?
323,409,897.