What is the 4406th prime number?
The 4406th prime number is 42157. The next prime is 42169 (a gap of 12) and the one before is 42139.
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 4406th one is 42157.
- 2
42157 is prime because no prime up to ā42157 ā 205.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4406th prime is close to 4406 Ć ln(4406) ā 36970, and here it is 42157.
- 4
42157 has no twin: neither 42155 nor 42159 is prime.
Primes around the 4406th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4403 | 42101 | 12 |
| 4404 | 42131 | 30 |
| 4405 | 42139 | 8 |
| 4406 | 42157 | 18 |
| 4407 | 42169 | 12 |
| 4408 | 42179 | 10 |
| 4409 | 42181 | 2 |
Questions
What is the 4406th prime number?
42157.
Which prime number is 42157?
42157 is the 4406th prime number.
What is the sum of the first 4406 primes?
87,516,437.