What is the 4417th prime number?
The 4417th prime number is 42239. The next prime is 42257 (a gap of 18) and the one before is 42227.
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 4417th one is 42239.
- 2
42239 is prime because no prime up to ā42239 ā 205.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4417th prime is close to 4417 Ć ln(4417) ā 37073, and here it is 42239.
- 4
42239 has no twin: neither 42237 nor 42241 is prime.
Primes around the 4417th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4414 | 42221 | 12 |
| 4415 | 42223 | 2 |
| 4416 | 42227 | 4 |
| 4417 | 42239 | 12 |
| 4418 | 42257 | 18 |
| 4419 | 42281 | 24 |
| 4420 | 42283 | 2 |
Questions
What is the 4417th prime number?
42239.
Which prime number is 42239?
42239 is the 4417th prime number.
What is the sum of the first 4417 primes?
87,980,662.