What is the 8498th prime number?
The 8498th prime number is 87541. The next prime is 87547 (a gap of 6) and the one before is 87539.
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 8498th one is 87541.
- 2
87541 is prime because no prime up to ā87541 ā 295.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8498th prime is close to 8498 Ć ln(8498) ā 76886, and here it is 87541.
- 4
87541 is a twin prime: 87539 and 87541 are both prime.
Primes around the 8498th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8495 | 87517 | 6 |
| 8496 | 87523 | 6 |
| 8497 | 87539 | 16 |
| 8498 | 87541 | 2 |
| 8499 | 87547 | 6 |
| 8500 | 87553 | 6 |
| 8501 | 87557 | 4 |
Questions
What is the 8498th prime number?
87541.
Which prime number is 87541?
87541 is the 8498th prime number.
What is the sum of the first 8498 primes?
351,837,141.