What is the 8494th prime number?
The 8494th prime number is 87511. The next prime is 87517 (a gap of 6) and the one before is 87509.
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 8494th one is 87511.
- 2
87511 is prime because no prime up to ā87511 ā 295.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8494th prime is close to 8494 Ć ln(8494) ā 76846, and here it is 87511.
- 4
87511 is a twin prime: 87509 and 87511 are both prime.
Primes around the 8494th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8491 | 87481 | 8 |
| 8492 | 87491 | 10 |
| 8493 | 87509 | 18 |
| 8494 | 87511 | 2 |
| 8495 | 87517 | 6 |
| 8496 | 87523 | 6 |
| 8497 | 87539 | 16 |
Questions
What is the 8494th prime number?
87511.
Which prime number is 87511?
87511 is the 8494th prime number.
What is the sum of the first 8494 primes?
351,487,021.