What is the 8731st prime number?
The 8731st prime number is 90163. The next prime is 90173 (a gap of 10) and the one before is 90149.
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 8731st one is 90163.
- 2
90163 is prime because no prime up to ā90163 ā 300.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8731st prime is close to 8731 Ć ln(8731) ā 79231, and here it is 90163.
- 4
90163 has no twin: neither 90161 nor 90165 is prime.
Primes around the 8731st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8728 | 90121 | 14 |
| 8729 | 90127 | 6 |
| 8730 | 90149 | 22 |
| 8731 | 90163 | 14 |
| 8732 | 90173 | 10 |
| 8733 | 90187 | 14 |
| 8734 | 90191 | 4 |
Questions
What is the 8731st prime number?
90163.
Which prime number is 90163?
90163 is the 8731st prime number.
What is the sum of the first 8731 primes?
372,548,502.