What is the 8041st prime number?
The 8041st prime number is 82223. The next prime is 82231 (a gap of 8) and the one before is 82219.
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 8041st one is 82223.
- 2
82223 is prime because no prime up to ā82223 ā 286.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8041st prime is close to 8041 Ć ln(8041) ā 72307, and here it is 82223.
- 4
82223 has no twin: neither 82221 nor 82225 is prime.
Primes around the 8041st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8038 | 82207 | 14 |
| 8039 | 82217 | 10 |
| 8040 | 82219 | 2 |
| 8041 | 82223 | 4 |
| 8042 | 82231 | 8 |
| 8043 | 82237 | 6 |
| 8044 | 82241 | 4 |
Questions
What is the 8041st prime number?
82223.
Which prime number is 82223?
82223 is the 8041st prime number.
What is the sum of the first 8041 primes?
313,040,450.