What is the 8042nd prime number?
The 8042nd prime number is 82231. The next prime is 82237 (a gap of 6) and the one before is 82223.
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 8042nd one is 82231.
- 2
82231 is prime because no prime up to ā82231 ā 286.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8042nd prime is close to 8042 Ć ln(8042) ā 72317, and here it is 82231.
- 4
82231 has no twin: neither 82229 nor 82233 is prime.
Primes around the 8042nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8039 | 82217 | 10 |
| 8040 | 82219 | 2 |
| 8041 | 82223 | 4 |
| 8042 | 82231 | 8 |
| 8043 | 82237 | 6 |
| 8044 | 82241 | 4 |
| 8045 | 82261 | 20 |
Questions
What is the 8042nd prime number?
82231.
Which prime number is 82231?
82231 is the 8042nd prime number.
What is the sum of the first 8042 primes?
313,122,681.