What is the 8253rd prime number?
The 8253rd prime number is 84697. The next prime is 84701 (a gap of 4) and the one before is 84691.
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 8253rd one is 84697.
- 2
84697 is prime because no prime up to ā84697 ā 291.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8253rd prime is close to 8253 Ć ln(8253) ā 74428, and here it is 84697.
- 4
84697 has no twin: neither 84695 nor 84699 is prime.
Primes around the 8253rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8250 | 84659 | 6 |
| 8251 | 84673 | 14 |
| 8252 | 84691 | 18 |
| 8253 | 84697 | 6 |
| 8254 | 84701 | 4 |
| 8255 | 84713 | 12 |
| 8256 | 84719 | 6 |
Questions
What is the 8253rd prime number?
84697.
Which prime number is 84697?
84697 is the 8253rd prime number.
What is the sum of the first 8253 primes?
330,736,030.