What is the 7932nd prime number?
The 7932nd prime number is 81041. The next prime is 81043 (a gap of 2) and the one before is 81031.
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 7932nd one is 81041.
- 2
81041 is prime because no prime up to ā81041 ā 284.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7932nd prime is close to 7932 Ć ln(7932) ā 71219, and here it is 81041.
- 4
81041 is a twin prime: 81041 and 81043 are both prime.
Primes around the 7932nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7929 | 81019 | 2 |
| 7930 | 81023 | 4 |
| 7931 | 81031 | 8 |
| 7932 | 81041 | 10 |
| 7933 | 81043 | 2 |
| 7934 | 81047 | 4 |
| 7935 | 81049 | 2 |
Questions
What is the 7932nd prime number?
81041.
Which prime number is 81041?
81041 is the 7932nd prime number.
What is the sum of the first 7932 primes?
304,140,673.