What is the 8034th prime number?
The 8034th prime number is 82171. The next prime is 82183 (a gap of 12) and the one before is 82163.
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 8034th one is 82171.
- 2
82171 is prime because no prime up to ā82171 ā 286.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8034th prime is close to 8034 Ć ln(8034) ā 72237, and here it is 82171.
- 4
82171 has no twin: neither 82169 nor 82173 is prime.
Primes around the 8034th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8031 | 82141 | 2 |
| 8032 | 82153 | 12 |
| 8033 | 82163 | 10 |
| 8034 | 82171 | 8 |
| 8035 | 82183 | 12 |
| 8036 | 82189 | 6 |
| 8037 | 82193 | 4 |
Questions
What is the 8034th prime number?
82171.
Which prime number is 82171?
82171 is the 8034th prime number.
What is the sum of the first 8034 primes?
312,465,019.