What is the 8148th prime number?
The 8148th prime number is 83449. The next prime is 83459 (a gap of 10) and the one before is 83443.
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 8148th one is 83449.
- 2
83449 is prime because no prime up to ā83449 ā 288.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8148th prime is close to 8148 Ć ln(8148) ā 73377, and here it is 83449.
- 4
83449 has no twin: neither 83447 nor 83451 is prime.
Primes around the 8148th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8145 | 83431 | 8 |
| 8146 | 83437 | 6 |
| 8147 | 83443 | 6 |
| 8148 | 83449 | 6 |
| 8149 | 83459 | 10 |
| 8150 | 83471 | 12 |
| 8151 | 83477 | 6 |
Questions
What is the 8148th prime number?
83449.
Which prime number is 83449?
83449 is the 8148th prime number.
What is the sum of the first 8148 primes?
321,905,565.