What is the 8744th prime number?
The 8744th prime number is 90281. The next prime is 90289 (a gap of 8) and the one before is 90271.
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 8744th one is 90281.
- 2
90281 is prime because no prime up to ā90281 ā 300.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8744th prime is close to 8744 Ć ln(8744) ā 79362, and here it is 90281.
- 4
90281 has no twin: neither 90279 nor 90283 is prime.
Primes around the 8744th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8741 | 90247 | 8 |
| 8742 | 90263 | 16 |
| 8743 | 90271 | 8 |
| 8744 | 90281 | 10 |
| 8745 | 90289 | 8 |
| 8746 | 90313 | 24 |
| 8747 | 90353 | 40 |
Questions
What is the 8744th prime number?
90281.
Which prime number is 90281?
90281 is the 8744th prime number.
What is the sum of the first 8744 primes?
373,721,397.