What is the 4409th prime number?
The 4409th prime number is 42181. The next prime is 42187 (a gap of 6) and the one before is 42179.
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 4409th one is 42181.
- 2
42181 is prime because no prime up to ā42181 ā 205.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4409th prime is close to 4409 Ć ln(4409) ā 36998, and here it is 42181.
- 4
42181 is a twin prime: 42179 and 42181 are both prime.
Primes around the 4409th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4406 | 42157 | 18 |
| 4407 | 42169 | 12 |
| 4408 | 42179 | 10 |
| 4409 | 42181 | 2 |
| 4410 | 42187 | 6 |
| 4411 | 42193 | 6 |
| 4412 | 42197 | 4 |
Questions
What is the 4409th prime number?
42181.
Which prime number is 42181?
42181 is the 4409th prime number.
What is the sum of the first 4409 primes?
87,642,966.