What is the 4466th prime number?
The 4466th prime number is 42709. The next prime is 42719 (a gap of 10) and the one before is 42703.
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 4466th one is 42709.
- 2
42709 is prime because no prime up to ā42709 ā 206.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4466th prime is close to 4466 Ć ln(4466) ā 37533, and here it is 42709.
- 4
42709 has no twin: neither 42707 nor 42711 is prime.
Primes around the 4466th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4463 | 42697 | 8 |
| 4464 | 42701 | 4 |
| 4465 | 42703 | 2 |
| 4466 | 42709 | 6 |
| 4467 | 42719 | 10 |
| 4468 | 42727 | 8 |
| 4469 | 42737 | 10 |
Questions
What is the 4466th prime number?
42709.
Which prime number is 42709?
42709 is the 4466th prime number.
What is the sum of the first 4466 primes?
90,062,377.