What is the 4448th prime number?
The 4448th prime number is 42509. The next prime is 42533 (a gap of 24) and the one before is 42499.
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 4448th one is 42509.
- 2
42509 is prime because no prime up to ā42509 ā 206.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4448th prime is close to 4448 Ć ln(4448) ā 37364, and here it is 42509.
- 4
42509 has no twin: neither 42507 nor 42511 is prime.
Primes around the 4448th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4445 | 42487 | 14 |
| 4446 | 42491 | 4 |
| 4447 | 42499 | 8 |
| 4448 | 42509 | 10 |
| 4449 | 42533 | 24 |
| 4450 | 42557 | 24 |
| 4451 | 42569 | 12 |
Questions
What is the 4448th prime number?
42509.
Which prime number is 42509?
42509 is the 4448th prime number.
What is the sum of the first 4448 primes?
89,294,911.