What is the 8493rd prime number?
The 8493rd prime number is 87509. The next prime is 87511 (a gap of 2) and the one before is 87491.
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 8493rd one is 87509.
- 2
87509 is prime because no prime up to ā87509 ā 295.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8493rd prime is close to 8493 Ć ln(8493) ā 76836, and here it is 87509.
- 4
87509 is a twin prime: 87509 and 87511 are both prime.
Primes around the 8493rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8490 | 87473 | 30 |
| 8491 | 87481 | 8 |
| 8492 | 87491 | 10 |
| 8493 | 87509 | 18 |
| 8494 | 87511 | 2 |
| 8495 | 87517 | 6 |
| 8496 | 87523 | 6 |
Questions
What is the 8493rd prime number?
87509.
Which prime number is 87509?
87509 is the 8493rd prime number.
What is the sum of the first 8493 primes?
351,399,510.