What is the 4404th prime number?
The 4404th prime number is 42131. The next prime is 42139 (a gap of 8) and the one before is 42101.
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 4404th one is 42131.
- 2
42131 is prime because no prime up to ā42131 ā 205.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4404th prime is close to 4404 Ć ln(4404) ā 36951, and here it is 42131.
- 4
42131 has no twin: neither 42129 nor 42133 is prime.
Primes around the 4404th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4401 | 42083 | 10 |
| 4402 | 42089 | 6 |
| 4403 | 42101 | 12 |
| 4404 | 42131 | 30 |
| 4405 | 42139 | 8 |
| 4406 | 42157 | 18 |
| 4407 | 42169 | 12 |
Questions
What is the 4404th prime number?
42131.
Which prime number is 42131?
42131 is the 4404th prime number.
What is the sum of the first 4404 primes?
87,432,141.