What is the 4419th prime number?
The 4419th prime number is 42281. The next prime is 42283 (a gap of 2) and the one before is 42257.
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 4419th one is 42281.
- 2
42281 is prime because no prime up to ā42281 ā 205.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4419th prime is close to 4419 Ć ln(4419) ā 37092, and here it is 42281.
- 4
42281 is a twin prime: 42281 and 42283 are both prime.
Primes around the 4419th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4416 | 42227 | 4 |
| 4417 | 42239 | 12 |
| 4418 | 42257 | 18 |
| 4419 | 42281 | 24 |
| 4420 | 42283 | 2 |
| 4421 | 42293 | 10 |
| 4422 | 42299 | 6 |
Questions
What is the 4419th prime number?
42281.
Which prime number is 42281?
42281 is the 4419th prime number.
What is the sum of the first 4419 primes?
88,065,200.