What is the 4405th prime number?
The 4405th prime number is 42139. The next prime is 42157 (a gap of 18) and the one before is 42131.
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 4405th one is 42139.
- 2
42139 is prime because no prime up to ā42139 ā 205.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4405th prime is close to 4405 Ć ln(4405) ā 36960, and here it is 42139.
- 4
42139 has no twin: neither 42137 nor 42141 is prime.
Primes around the 4405th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4402 | 42089 | 6 |
| 4403 | 42101 | 12 |
| 4404 | 42131 | 30 |
| 4405 | 42139 | 8 |
| 4406 | 42157 | 18 |
| 4407 | 42169 | 12 |
| 4408 | 42179 | 10 |
Questions
What is the 4405th prime number?
42139.
Which prime number is 42139?
42139 is the 4405th prime number.
What is the sum of the first 4405 primes?
87,474,280.