What is the 8147th prime number?
The 8147th prime number is 83443. The next prime is 83449 (a gap of 6) and the one before is 83437.
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 8147th one is 83443.
- 2
83443 is prime because no prime up to ā83443 ā 288.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8147th prime is close to 8147 Ć ln(8147) ā 73367, and here it is 83443.
- 4
83443 has no twin: neither 83441 nor 83445 is prime.
Primes around the 8147th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8144 | 83423 | 6 |
| 8145 | 83431 | 8 |
| 8146 | 83437 | 6 |
| 8147 | 83443 | 6 |
| 8148 | 83449 | 6 |
| 8149 | 83459 | 10 |
| 8150 | 83471 | 12 |
Questions
What is the 8147th prime number?
83443.
Which prime number is 83443?
83443 is the 8147th prime number.
What is the sum of the first 8147 primes?
321,822,116.