What is the 8017th prime number?
The 8017th prime number is 81973. The next prime is 82003 (a gap of 30) and the one before is 81971.
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 8017th one is 81973.
- 2
81973 is prime because no prime up to ā81973 ā 286.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8017th prime is close to 8017 Ć ln(8017) ā 72067, and here it is 81973.
- 4
81973 is a twin prime: 81971 and 81973 are both prime.
Primes around the 8017th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8014 | 81953 | 10 |
| 8015 | 81967 | 14 |
| 8016 | 81971 | 4 |
| 8017 | 81973 | 2 |
| 8018 | 82003 | 30 |
| 8019 | 82007 | 4 |
| 8020 | 82009 | 2 |
Questions
What is the 8017th prime number?
81973.
Which prime number is 81973?
81973 is the 8017th prime number.
What is the sum of the first 8017 primes?
311,069,772.