What is the 7929th prime number?
The 7929th prime number is 81019. The next prime is 81023 (a gap of 4) and the one before is 81017.
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 7929th one is 81019.
- 2
81019 is prime because no prime up to ā81019 ā 284.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7929th prime is close to 7929 Ć ln(7929) ā 71189, and here it is 81019.
- 4
81019 is a twin prime: 81017 and 81019 are both prime.
Primes around the 7929th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7926 | 81001 | 12 |
| 7927 | 81013 | 12 |
| 7928 | 81017 | 4 |
| 7929 | 81019 | 2 |
| 7930 | 81023 | 4 |
| 7931 | 81031 | 8 |
| 7932 | 81041 | 10 |
Questions
What is the 7929th prime number?
81019.
Which prime number is 81019?
81019 is the 7929th prime number.
What is the sum of the first 7929 primes?
303,897,578.