What is the 7933rd prime number?
The 7933rd prime number is 81043. The next prime is 81047 (a gap of 4) and the one before is 81041.
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 7933rd one is 81043.
- 2
81043 is prime because no prime up to ā81043 ā 284.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7933rd prime is close to 7933 Ć ln(7933) ā 71229, and here it is 81043.
- 4
81043 is a twin prime: 81041 and 81043 are both prime.
Primes around the 7933rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7930 | 81023 | 4 |
| 7931 | 81031 | 8 |
| 7932 | 81041 | 10 |
| 7933 | 81043 | 2 |
| 7934 | 81047 | 4 |
| 7935 | 81049 | 2 |
| 7936 | 81071 | 22 |
Questions
What is the 7933rd prime number?
81043.
Which prime number is 81043?
81043 is the 7933rd prime number.
What is the sum of the first 7933 primes?
304,221,716.