What is the 6448th prime number?
The 6448th prime number is 64439. The next prime is 64451 (a gap of 12) and the one before is 64433.
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 6448th one is 64439.
- 2
64439 is prime because no prime up to ā64439 ā 253.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6448th prime is close to 6448 Ć ln(6448) ā 56559, and here it is 64439.
- 4
64439 has no twin: neither 64437 nor 64441 is prime.
Primes around the 6448th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6445 | 64399 | 18 |
| 6446 | 64403 | 4 |
| 6447 | 64433 | 30 |
| 6448 | 64439 | 6 |
| 6449 | 64451 | 12 |
| 6450 | 64453 | 2 |
| 6451 | 64483 | 30 |
Questions
What is the 6448th prime number?
64439.
Which prime number is 64439?
64439 is the 6448th prime number.
What is the sum of the first 6448 primes?
196,178,527.