What is the 7873rd prime number?
The 7873rd prime number is 80429. The next prime is 80447 (a gap of 18) and the one before is 80407.
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 7873rd one is 80429.
- 2
80429 is prime because no prime up to ā80429 ā 283.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7873rd prime is close to 7873 Ć ln(7873) ā 70630, and here it is 80429.
- 4
80429 has no twin: neither 80427 nor 80431 is prime.
Primes around the 7873rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7870 | 80369 | 6 |
| 7871 | 80387 | 18 |
| 7872 | 80407 | 20 |
| 7873 | 80429 | 22 |
| 7874 | 80447 | 18 |
| 7875 | 80449 | 2 |
| 7876 | 80471 | 22 |
Questions
What is the 7873rd prime number?
80429.
Which prime number is 80429?
80429 is the 7873rd prime number.
What is the sum of the first 7873 primes?
299,376,274.