What is the 8749th prime number?
The 8749th prime number is 90371. The next prime is 90373 (a gap of 2) and the one before is 90359.
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 8749th one is 90371.
- 2
90371 is prime because no prime up to ā90371 ā 300.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8749th prime is close to 8749 Ć ln(8749) ā 79412, and here it is 90371.
- 4
90371 is a twin prime: 90371 and 90373 are both prime.
Primes around the 8749th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8746 | 90313 | 24 |
| 8747 | 90353 | 40 |
| 8748 | 90359 | 6 |
| 8749 | 90371 | 12 |
| 8750 | 90373 | 2 |
| 8751 | 90379 | 6 |
| 8752 | 90397 | 18 |
Questions
What is the 8749th prime number?
90371.
Which prime number is 90371?
90371 is the 8749th prime number.
What is the sum of the first 8749 primes?
374,173,082.