What is the 8044th prime number?
The 8044th prime number is 82241. The next prime is 82261 (a gap of 20) and the one before is 82237.
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 8044th one is 82241.
- 2
82241 is prime because no prime up to ā82241 ā 286.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8044th prime is close to 8044 Ć ln(8044) ā 72337, and here it is 82241.
- 4
82241 has no twin: neither 82239 nor 82243 is prime.
Primes around the 8044th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8041 | 82223 | 4 |
| 8042 | 82231 | 8 |
| 8043 | 82237 | 6 |
| 8044 | 82241 | 4 |
| 8045 | 82261 | 20 |
| 8046 | 82267 | 6 |
| 8047 | 82279 | 12 |
Questions
What is the 8044th prime number?
82241.
Which prime number is 82241?
82241 is the 8044th prime number.
What is the sum of the first 8044 primes?
313,287,159.