What is the 4408th prime number?
The 4408th prime number is 42179. The next prime is 42181 (a gap of 2) and the one before is 42169.
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 4408th one is 42179.
- 2
42179 is prime because no prime up to ā42179 ā 205.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4408th prime is close to 4408 Ć ln(4408) ā 36988, and here it is 42179.
- 4
42179 is a twin prime: 42179 and 42181 are both prime.
Primes around the 4408th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4405 | 42139 | 8 |
| 4406 | 42157 | 18 |
| 4407 | 42169 | 12 |
| 4408 | 42179 | 10 |
| 4409 | 42181 | 2 |
| 4410 | 42187 | 6 |
| 4411 | 42193 | 6 |
Questions
What is the 4408th prime number?
42179.
Which prime number is 42179?
42179 is the 4408th prime number.
What is the sum of the first 4408 primes?
87,600,785.