What is the 7875th prime number?
The 7875th prime number is 80449. The next prime is 80471 (a gap of 22) and the one before is 80447.
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 7875th one is 80449.
- 2
80449 is prime because no prime up to ā80449 ā 283.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7875th prime is close to 7875 Ć ln(7875) ā 70650, and here it is 80449.
- 4
80449 is a twin prime: 80447 and 80449 are both prime.
Primes around the 7875th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7872 | 80407 | 20 |
| 7873 | 80429 | 22 |
| 7874 | 80447 | 18 |
| 7875 | 80449 | 2 |
| 7876 | 80471 | 22 |
| 7877 | 80473 | 2 |
| 7878 | 80489 | 16 |
Questions
What is the 7875th prime number?
80449.
Which prime number is 80449?
80449 is the 7875th prime number.
What is the sum of the first 7875 primes?
299,537,170.