What is the 8018th prime number?
The 8018th prime number is 82003. The next prime is 82007 (a gap of 4) and the one before is 81973.
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 8018th one is 82003.
- 2
82003 is prime because no prime up to ā82003 ā 286.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8018th prime is close to 8018 Ć ln(8018) ā 72077, and here it is 82003.
- 4
82003 has no twin: neither 82001 nor 82005 is prime.
Primes around the 8018th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8015 | 81967 | 14 |
| 8016 | 81971 | 4 |
| 8017 | 81973 | 2 |
| 8018 | 82003 | 30 |
| 8019 | 82007 | 4 |
| 8020 | 82009 | 2 |
| 8021 | 82013 | 4 |
Questions
What is the 8018th prime number?
82003.
Which prime number is 82003?
82003 is the 8018th prime number.
What is the sum of the first 8018 primes?
311,151,775.