What is the 8045th prime number?
The 8045th prime number is 82261. The next prime is 82267 (a gap of 6) and the one before is 82241.
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 8045th one is 82261.
- 2
82261 is prime because no prime up to ā82261 ā 286.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8045th prime is close to 8045 Ć ln(8045) ā 72347, and here it is 82261.
- 4
82261 has no twin: neither 82259 nor 82263 is prime.
Primes around the 8045th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8042 | 82231 | 8 |
| 8043 | 82237 | 6 |
| 8044 | 82241 | 4 |
| 8045 | 82261 | 20 |
| 8046 | 82267 | 6 |
| 8047 | 82279 | 12 |
| 8048 | 82301 | 22 |
Questions
What is the 8045th prime number?
82261.
Which prime number is 82261?
82261 is the 8045th prime number.
What is the sum of the first 8045 primes?
313,369,420.