What is the 8043rd prime number?
The 8043rd prime number is 82237. The next prime is 82241 (a gap of 4) and the one before is 82231.
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 8043rd one is 82237.
- 2
82237 is prime because no prime up to ā82237 ā 286.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8043rd prime is close to 8043 Ć ln(8043) ā 72327, and here it is 82237.
- 4
82237 has no twin: neither 82235 nor 82239 is prime.
Primes around the 8043rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8040 | 82219 | 2 |
| 8041 | 82223 | 4 |
| 8042 | 82231 | 8 |
| 8043 | 82237 | 6 |
| 8044 | 82241 | 4 |
| 8045 | 82261 | 20 |
| 8046 | 82267 | 6 |
Questions
What is the 8043rd prime number?
82237.
Which prime number is 82237?
82237 is the 8043rd prime number.
What is the sum of the first 8043 primes?
313,204,918.