What is the 4416th prime number?
The 4416th prime number is 42227. The next prime is 42239 (a gap of 12) and the one before is 42223.
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 4416th one is 42227.
- 2
42227 is prime because no prime up to ā42227 ā 205.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4416th prime is close to 4416 Ć ln(4416) ā 37063, and here it is 42227.
- 4
42227 has no twin: neither 42225 nor 42229 is prime.
Primes around the 4416th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4413 | 42209 | 12 |
| 4414 | 42221 | 12 |
| 4415 | 42223 | 2 |
| 4416 | 42227 | 4 |
| 4417 | 42239 | 12 |
| 4418 | 42257 | 18 |
| 4419 | 42281 | 24 |
Questions
What is the 4416th prime number?
42227.
Which prime number is 42227?
42227 is the 4416th prime number.
What is the sum of the first 4416 primes?
87,938,423.