What is the 8016th prime number?
The 8016th prime number is 81971. The next prime is 81973 (a gap of 2) and the one before is 81967.
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 8016th one is 81971.
- 2
81971 is prime because no prime up to ā81971 ā 286.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8016th prime is close to 8016 Ć ln(8016) ā 72057, and here it is 81971.
- 4
81971 is a twin prime: 81971 and 81973 are both prime.
Primes around the 8016th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8013 | 81943 | 6 |
| 8014 | 81953 | 10 |
| 8015 | 81967 | 14 |
| 8016 | 81971 | 4 |
| 8017 | 81973 | 2 |
| 8018 | 82003 | 30 |
| 8019 | 82007 | 4 |
Questions
What is the 8016th prime number?
81971.
Which prime number is 81971?
81971 is the 8016th prime number.
What is the sum of the first 8016 primes?
310,987,799.