What is the 8491st prime number?
The 8491st prime number is 87481. The next prime is 87491 (a gap of 10) and the one before is 87473.
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 8491st one is 87481.
- 2
87481 is prime because no prime up to ā87481 ā 295.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8491st prime is close to 8491 Ć ln(8491) ā 76816, and here it is 87481.
- 4
87481 has no twin: neither 87479 nor 87483 is prime.
Primes around the 8491st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8488 | 87433 | 6 |
| 8489 | 87443 | 10 |
| 8490 | 87473 | 30 |
| 8491 | 87481 | 8 |
| 8492 | 87491 | 10 |
| 8493 | 87509 | 18 |
| 8494 | 87511 | 2 |
Questions
What is the 8491st prime number?
87481.
Which prime number is 87481?
87481 is the 8491st prime number.
What is the sum of the first 8491 primes?
351,224,510.