What is the 4414th prime number?
The 4414th prime number is 42221. The next prime is 42223 (a gap of 2) and the one before is 42209.
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 4414th one is 42221.
- 2
42221 is prime because no prime up to ā42221 ā 205.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4414th prime is close to 4414 Ć ln(4414) ā 37045, and here it is 42221.
- 4
42221 is a twin prime: 42221 and 42223 are both prime.
Primes around the 4414th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4411 | 42193 | 6 |
| 4412 | 42197 | 4 |
| 4413 | 42209 | 12 |
| 4414 | 42221 | 12 |
| 4415 | 42223 | 2 |
| 4416 | 42227 | 4 |
| 4417 | 42239 | 12 |
Questions
What is the 4414th prime number?
42221.
Which prime number is 42221?
42221 is the 4414th prime number.
What is the sum of the first 4414 primes?
87,853,973.