What is the 8023rd prime number?
The 8023rd prime number is 82031. The next prime is 82037 (a gap of 6) and the one before is 82021.
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 8023rd one is 82031.
- 2
82031 is prime because no prime up to ā82031 ā 286.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8023rd prime is close to 8023 Ć ln(8023) ā 72127, and here it is 82031.
- 4
82031 has no twin: neither 82029 nor 82033 is prime.
Primes around the 8023rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8020 | 82009 | 2 |
| 8021 | 82013 | 4 |
| 8022 | 82021 | 8 |
| 8023 | 82031 | 10 |
| 8024 | 82037 | 6 |
| 8025 | 82039 | 2 |
| 8026 | 82051 | 12 |
Questions
What is the 8023rd prime number?
82031.
Which prime number is 82031?
82031 is the 8023rd prime number.
What is the sum of the first 8023 primes?
311,561,856.