What is the 8741st prime number?
The 8741st prime number is 90247. The next prime is 90263 (a gap of 16) and the one before is 90239.
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 8741st one is 90247.
- 2
90247 is prime because no prime up to ā90247 ā 300.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8741st prime is close to 8741 Ć ln(8741) ā 79331, and here it is 90247.
- 4
90247 has no twin: neither 90245 nor 90249 is prime.
Primes around the 8741st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8738 | 90217 | 14 |
| 8739 | 90227 | 10 |
| 8740 | 90239 | 12 |
| 8741 | 90247 | 8 |
| 8742 | 90263 | 16 |
| 8743 | 90271 | 8 |
| 8744 | 90281 | 10 |
Questions
What is the 8741st prime number?
90247.
Which prime number is 90247?
90247 is the 8741st prime number.
What is the sum of the first 8741 primes?
373,450,582.