What is the 8247th prime number?
The 8247th prime number is 84631. The next prime is 84649 (a gap of 18) and the one before is 84629.
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 8247th one is 84631.
- 2
84631 is prime because no prime up to ā84631 ā 290.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8247th prime is close to 8247 Ć ln(8247) ā 74368, and here it is 84631.
- 4
84631 is a twin prime: 84629 and 84631 are both prime.
Primes around the 8247th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8244 | 84559 | 8 |
| 8245 | 84589 | 30 |
| 8246 | 84629 | 40 |
| 8247 | 84631 | 2 |
| 8248 | 84649 | 18 |
| 8249 | 84653 | 4 |
| 8250 | 84659 | 6 |
Questions
What is the 8247th prime number?
84631.
Which prime number is 84631?
84631 is the 8247th prime number.
What is the sum of the first 8247 primes?
330,228,008.