What is the 8248th prime number?
The 8248th prime number is 84649. The next prime is 84653 (a gap of 4) and the one before is 84631.
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 8248th one is 84649.
- 2
84649 is prime because no prime up to ā84649 ā 290.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8248th prime is close to 8248 Ć ln(8248) ā 74378, and here it is 84649.
- 4
84649 has no twin: neither 84647 nor 84651 is prime.
Primes around the 8248th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8245 | 84589 | 30 |
| 8246 | 84629 | 40 |
| 8247 | 84631 | 2 |
| 8248 | 84649 | 18 |
| 8249 | 84653 | 4 |
| 8250 | 84659 | 6 |
| 8251 | 84673 | 14 |
Questions
What is the 8248th prime number?
84649.
Which prime number is 84649?
84649 is the 8248th prime number.
What is the sum of the first 8248 primes?
330,312,657.