What is the 8251st prime number?
The 8251st prime number is 84673. The next prime is 84691 (a gap of 18) and the one before is 84659.
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 8251st one is 84673.
- 2
84673 is prime because no prime up to ā84673 ā 290.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8251st prime is close to 8251 Ć ln(8251) ā 74408, and here it is 84673.
- 4
84673 has no twin: neither 84671 nor 84675 is prime.
Primes around the 8251st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8248 | 84649 | 18 |
| 8249 | 84653 | 4 |
| 8250 | 84659 | 6 |
| 8251 | 84673 | 14 |
| 8252 | 84691 | 18 |
| 8253 | 84697 | 6 |
| 8254 | 84701 | 4 |
Questions
What is the 8251st prime number?
84673.
Which prime number is 84673?
84673 is the 8251st prime number.
What is the sum of the first 8251 primes?
330,566,642.