What is the 4415th prime number?
The 4415th prime number is 42223. The next prime is 42227 (a gap of 4) and the one before is 42221.
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 4415th one is 42223.
- 2
42223 is prime because no prime up to ā42223 ā 205.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4415th prime is close to 4415 Ć ln(4415) ā 37054, and here it is 42223.
- 4
42223 is a twin prime: 42221 and 42223 are both prime.
Primes around the 4415th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4412 | 42197 | 4 |
| 4413 | 42209 | 12 |
| 4414 | 42221 | 12 |
| 4415 | 42223 | 2 |
| 4416 | 42227 | 4 |
| 4417 | 42239 | 12 |
| 4418 | 42257 | 18 |
Questions
What is the 4415th prime number?
42223.
Which prime number is 42223?
42223 is the 4415th prime number.
What is the sum of the first 4415 primes?
87,896,196.