What is the 4418th prime number?
The 4418th prime number is 42257. The next prime is 42281 (a gap of 24) and the one before is 42239.
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 4418th one is 42257.
- 2
42257 is prime because no prime up to ā42257 ā 205.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4418th prime is close to 4418 Ć ln(4418) ā 37082, and here it is 42257.
- 4
42257 has no twin: neither 42255 nor 42259 is prime.
Primes around the 4418th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4415 | 42223 | 2 |
| 4416 | 42227 | 4 |
| 4417 | 42239 | 12 |
| 4418 | 42257 | 18 |
| 4419 | 42281 | 24 |
| 4420 | 42283 | 2 |
| 4421 | 42293 | 10 |
Questions
What is the 4418th prime number?
42257.
Which prime number is 42257?
42257 is the 4418th prime number.
What is the sum of the first 4418 primes?
88,022,919.