What is the 8252nd prime number?
The 8252nd prime number is 84691. The next prime is 84697 (a gap of 6) and the one before is 84673.
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 8252nd one is 84691.
- 2
84691 is prime because no prime up to ā84691 ā 291.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8252nd prime is close to 8252 Ć ln(8252) ā 74418, and here it is 84691.
- 4
84691 has no twin: neither 84689 nor 84693 is prime.
Primes around the 8252nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8249 | 84653 | 4 |
| 8250 | 84659 | 6 |
| 8251 | 84673 | 14 |
| 8252 | 84691 | 18 |
| 8253 | 84697 | 6 |
| 8254 | 84701 | 4 |
| 8255 | 84713 | 12 |
Questions
What is the 8252nd prime number?
84691.
Which prime number is 84691?
84691 is the 8252nd prime number.
What is the sum of the first 8252 primes?
330,651,333.