What is the 4411th prime number?
The 4411th prime number is 42193. The next prime is 42197 (a gap of 4) and the one before is 42187.
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 4411th one is 42193.
- 2
42193 is prime because no prime up to ā42193 ā 205.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4411th prime is close to 4411 Ć ln(4411) ā 37016, and here it is 42193.
- 4
42193 has no twin: neither 42191 nor 42195 is prime.
Primes around the 4411th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4408 | 42179 | 10 |
| 4409 | 42181 | 2 |
| 4410 | 42187 | 6 |
| 4411 | 42193 | 6 |
| 4412 | 42197 | 4 |
| 4413 | 42209 | 12 |
| 4414 | 42221 | 12 |
Questions
What is the 4411th prime number?
42193.
Which prime number is 42193?
42193 is the 4411th prime number.
What is the sum of the first 4411 primes?
87,727,346.