What is the 8021st prime number?
The 8021st prime number is 82013. The next prime is 82021 (a gap of 8) and the one before is 82009.
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 8021st one is 82013.
- 2
82013 is prime because no prime up to ā82013 ā 286.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8021st prime is close to 8021 Ć ln(8021) ā 72107, and here it is 82013.
- 4
82013 has no twin: neither 82011 nor 82015 is prime.
Primes around the 8021st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8018 | 82003 | 30 |
| 8019 | 82007 | 4 |
| 8020 | 82009 | 2 |
| 8021 | 82013 | 4 |
| 8022 | 82021 | 8 |
| 8023 | 82031 | 10 |
| 8024 | 82037 | 6 |
Questions
What is the 8021st prime number?
82013.
Which prime number is 82013?
82013 is the 8021st prime number.
What is the sum of the first 8021 primes?
311,397,804.