What is the 8146th prime number?
The 8146th prime number is 83437. The next prime is 83443 (a gap of 6) and the one before is 83431.
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 8146th one is 83437.
- 2
83437 is prime because no prime up to ā83437 ā 288.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8146th prime is close to 8146 Ć ln(8146) ā 73357, and here it is 83437.
- 4
83437 has no twin: neither 83435 nor 83439 is prime.
Primes around the 8146th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8143 | 83417 | 10 |
| 8144 | 83423 | 6 |
| 8145 | 83431 | 8 |
| 8146 | 83437 | 6 |
| 8147 | 83443 | 6 |
| 8148 | 83449 | 6 |
| 8149 | 83459 | 10 |
Questions
What is the 8146th prime number?
83437.
Which prime number is 83437?
83437 is the 8146th prime number.
What is the sum of the first 8146 primes?
321,738,673.