What is the 7930th prime number?
The 7930th prime number is 81023. The next prime is 81031 (a gap of 8) and the one before is 81019.
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 7930th one is 81023.
- 2
81023 is prime because no prime up to ā81023 ā 284.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7930th prime is close to 7930 Ć ln(7930) ā 71199, and here it is 81023.
- 4
81023 has no twin: neither 81021 nor 81025 is prime.
Primes around the 7930th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7927 | 81013 | 12 |
| 7928 | 81017 | 4 |
| 7929 | 81019 | 2 |
| 7930 | 81023 | 4 |
| 7931 | 81031 | 8 |
| 7932 | 81041 | 10 |
| 7933 | 81043 | 2 |
Questions
What is the 7930th prime number?
81023.
Which prime number is 81023?
81023 is the 7930th prime number.
What is the sum of the first 7930 primes?
303,978,601.