What is the 8466th prime number?
The 8466th prime number is 87181. The next prime is 87187 (a gap of 6) and the one before is 87179.
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 8466th one is 87181.
- 2
87181 is prime because no prime up to ā87181 ā 295.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8466th prime is close to 8466 Ć ln(8466) ā 76565, and here it is 87181.
- 4
87181 is a twin prime: 87179 and 87181 are both prime.
Primes around the 8466th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8463 | 87149 | 16 |
| 8464 | 87151 | 2 |
| 8465 | 87179 | 28 |
| 8466 | 87181 | 2 |
| 8467 | 87187 | 6 |
| 8468 | 87211 | 24 |
| 8469 | 87221 | 10 |
Questions
What is the 8466th prime number?
87181.
Which prime number is 87181?
87181 is the 8466th prime number.
What is the sum of the first 8466 primes?
349,041,237.