What is the 7928th prime number?
The 7928th prime number is 81017. The next prime is 81019 (a gap of 2) and the one before is 81013.
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 7928th one is 81017.
- 2
81017 is prime because no prime up to ā81017 ā 284.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7928th prime is close to 7928 Ć ln(7928) ā 71179, and here it is 81017.
- 4
81017 is a twin prime: 81017 and 81019 are both prime.
Primes around the 7928th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7925 | 80989 | 26 |
| 7926 | 81001 | 12 |
| 7927 | 81013 | 12 |
| 7928 | 81017 | 4 |
| 7929 | 81019 | 2 |
| 7930 | 81023 | 4 |
| 7931 | 81031 | 8 |
Questions
What is the 7928th prime number?
81017.
Which prime number is 81017?
81017 is the 7928th prime number.
What is the sum of the first 7928 primes?
303,816,559.