What is the 4420th prime number?
The 4420th prime number is 42283. The next prime is 42293 (a gap of 10) and the one before is 42281.
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 4420th one is 42283.
- 2
42283 is prime because no prime up to ā42283 ā 205.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4420th prime is close to 4420 Ć ln(4420) ā 37101, and here it is 42283.
- 4
42283 is a twin prime: 42281 and 42283 are both prime.
Primes around the 4420th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4417 | 42239 | 12 |
| 4418 | 42257 | 18 |
| 4419 | 42281 | 24 |
| 4420 | 42283 | 2 |
| 4421 | 42293 | 10 |
| 4422 | 42299 | 6 |
| 4423 | 42307 | 8 |
Questions
What is the 4420th prime number?
42283.
Which prime number is 42283?
42283 is the 4420th prime number.
What is the sum of the first 4420 primes?
88,107,483.