What is the 7931st prime number?
The 7931st prime number is 81031. The next prime is 81041 (a gap of 10) and the one before is 81023.
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 7931st one is 81031.
- 2
81031 is prime because no prime up to ā81031 ā 284.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7931st prime is close to 7931 Ć ln(7931) ā 71209, and here it is 81031.
- 4
81031 has no twin: neither 81029 nor 81033 is prime.
Primes around the 7931st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7928 | 81017 | 4 |
| 7929 | 81019 | 2 |
| 7930 | 81023 | 4 |
| 7931 | 81031 | 8 |
| 7932 | 81041 | 10 |
| 7933 | 81043 | 2 |
| 7934 | 81047 | 4 |
Questions
What is the 7931st prime number?
81031.
Which prime number is 81031?
81031 is the 7931st prime number.
What is the sum of the first 7931 primes?
304,059,632.