What is the 8497th prime number?
The 8497th prime number is 87539. The next prime is 87541 (a gap of 2) and the one before is 87523.
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 8497th one is 87539.
- 2
87539 is prime because no prime up to ā87539 ā 295.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8497th prime is close to 8497 Ć ln(8497) ā 76876, and here it is 87539.
- 4
87539 is a twin prime: 87539 and 87541 are both prime.
Primes around the 8497th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8494 | 87511 | 2 |
| 8495 | 87517 | 6 |
| 8496 | 87523 | 6 |
| 8497 | 87539 | 16 |
| 8498 | 87541 | 2 |
| 8499 | 87547 | 6 |
| 8500 | 87553 | 6 |
Questions
What is the 8497th prime number?
87539.
Which prime number is 87539?
87539 is the 8497th prime number.
What is the sum of the first 8497 primes?
351,749,600.