What is the 8734th prime number?
The 8734th prime number is 90191. The next prime is 90197 (a gap of 6) and the one before is 90187.
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 8734th one is 90191.
- 2
90191 is prime because no prime up to ā90191 ā 300.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8734th prime is close to 8734 Ć ln(8734) ā 79261, and here it is 90191.
- 4
90191 has no twin: neither 90189 nor 90193 is prime.
Primes around the 8734th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8731 | 90163 | 14 |
| 8732 | 90173 | 10 |
| 8733 | 90187 | 14 |
| 8734 | 90191 | 4 |
| 8735 | 90197 | 6 |
| 8736 | 90199 | 2 |
| 8737 | 90203 | 4 |
Questions
What is the 8734th prime number?
90191.
Which prime number is 90191?
90191 is the 8734th prime number.
What is the sum of the first 8734 primes?
372,819,053.