What is the 4467th prime number?
The 4467th prime number is 42719. The next prime is 42727 (a gap of 8) and the one before is 42709.
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 4467th one is 42719.
- 2
42719 is prime because no prime up to ā42719 ā 206.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4467th prime is close to 4467 Ć ln(4467) ā 37543, and here it is 42719.
- 4
42719 has no twin: neither 42717 nor 42721 is prime.
Primes around the 4467th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4464 | 42701 | 4 |
| 4465 | 42703 | 2 |
| 4466 | 42709 | 6 |
| 4467 | 42719 | 10 |
| 4468 | 42727 | 8 |
| 4469 | 42737 | 10 |
| 4470 | 42743 | 6 |
Questions
What is the 4467th prime number?
42719.
Which prime number is 42719?
42719 is the 4467th prime number.
What is the sum of the first 4467 primes?
90,105,096.