What is the 7874th prime number?
The 7874th prime number is 80447. The next prime is 80449 (a gap of 2) and the one before is 80429.
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 7874th one is 80447.
- 2
80447 is prime because no prime up to ā80447 ā 283.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7874th prime is close to 7874 Ć ln(7874) ā 70640, and here it is 80447.
- 4
80447 is a twin prime: 80447 and 80449 are both prime.
Primes around the 7874th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7871 | 80387 | 18 |
| 7872 | 80407 | 20 |
| 7873 | 80429 | 22 |
| 7874 | 80447 | 18 |
| 7875 | 80449 | 2 |
| 7876 | 80471 | 22 |
| 7877 | 80473 | 2 |
Questions
What is the 7874th prime number?
80447.
Which prime number is 80447?
80447 is the 7874th prime number.
What is the sum of the first 7874 primes?
299,456,721.