What is the 4410th prime number?
The 4410th prime number is 42187. The next prime is 42193 (a gap of 6) and the one before is 42181.
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 4410th one is 42187.
- 2
42187 is prime because no prime up to ā42187 ā 205.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4410th prime is close to 4410 Ć ln(4410) ā 37007, and here it is 42187.
- 4
42187 has no twin: neither 42185 nor 42189 is prime.
Primes around the 4410th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4407 | 42169 | 12 |
| 4408 | 42179 | 10 |
| 4409 | 42181 | 2 |
| 4410 | 42187 | 6 |
| 4411 | 42193 | 6 |
| 4412 | 42197 | 4 |
| 4413 | 42209 | 12 |
Questions
What is the 4410th prime number?
42187.
Which prime number is 42187?
42187 is the 4410th prime number.
What is the sum of the first 4410 primes?
87,685,153.