What is the 4407th prime number?
The 4407th prime number is 42169. The next prime is 42179 (a gap of 10) and the one before is 42157.
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 4407th one is 42169.
- 2
42169 is prime because no prime up to ā42169 ā 205.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4407th prime is close to 4407 Ć ln(4407) ā 36979, and here it is 42169.
- 4
42169 has no twin: neither 42167 nor 42171 is prime.
Primes around the 4407th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4404 | 42131 | 30 |
| 4405 | 42139 | 8 |
| 4406 | 42157 | 18 |
| 4407 | 42169 | 12 |
| 4408 | 42179 | 10 |
| 4409 | 42181 | 2 |
| 4410 | 42187 | 6 |
Questions
What is the 4407th prime number?
42169.
Which prime number is 42169?
42169 is the 4407th prime number.
What is the sum of the first 4407 primes?
87,558,606.