What is the 4413th prime number?
The 4413th prime number is 42209. The next prime is 42221 (a gap of 12) and the one before is 42197.
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 4413th one is 42209.
- 2
42209 is prime because no prime up to ā42209 ā 205.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4413th prime is close to 4413 Ć ln(4413) ā 37035, and here it is 42209.
- 4
42209 has no twin: neither 42207 nor 42211 is prime.
Primes around the 4413th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4410 | 42187 | 6 |
| 4411 | 42193 | 6 |
| 4412 | 42197 | 4 |
| 4413 | 42209 | 12 |
| 4414 | 42221 | 12 |
| 4415 | 42223 | 2 |
| 4416 | 42227 | 4 |
Questions
What is the 4413th prime number?
42209.
Which prime number is 42209?
42209 is the 4413th prime number.
What is the sum of the first 4413 primes?
87,811,752.