What is the 8492nd prime number?
The 8492nd prime number is 87491. The next prime is 87509 (a gap of 18) and the one before is 87481.
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 8492nd one is 87491.
- 2
87491 is prime because no prime up to ā87491 ā 295.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8492nd prime is close to 8492 Ć ln(8492) ā 76826, and here it is 87491.
- 4
87491 has no twin: neither 87489 nor 87493 is prime.
Primes around the 8492nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8489 | 87443 | 10 |
| 8490 | 87473 | 30 |
| 8491 | 87481 | 8 |
| 8492 | 87491 | 10 |
| 8493 | 87509 | 18 |
| 8494 | 87511 | 2 |
| 8495 | 87517 | 6 |
Questions
What is the 8492nd prime number?
87491.
Which prime number is 87491?
87491 is the 8492nd prime number.
What is the sum of the first 8492 primes?
351,312,001.