What is the 8745th prime number?
The 8745th prime number is 90289. The next prime is 90313 (a gap of 24) and the one before is 90281.
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 8745th one is 90289.
- 2
90289 is prime because no prime up to ā90289 ā 300.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8745th prime is close to 8745 Ć ln(8745) ā 79372, and here it is 90289.
- 4
90289 has no twin: neither 90287 nor 90291 is prime.
Primes around the 8745th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8742 | 90263 | 16 |
| 8743 | 90271 | 8 |
| 8744 | 90281 | 10 |
| 8745 | 90289 | 8 |
| 8746 | 90313 | 24 |
| 8747 | 90353 | 40 |
| 8748 | 90359 | 6 |
Questions
What is the 8745th prime number?
90289.
Which prime number is 90289?
90289 is the 8745th prime number.
What is the sum of the first 8745 primes?
373,811,686.