What is the 4468th prime number?
The 4468th prime number is 42727. The next prime is 42737 (a gap of 10) and the one before is 42719.
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 4468th one is 42727.
- 2
42727 is prime because no prime up to ā42727 ā 206.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4468th prime is close to 4468 Ć ln(4468) ā 37552, and here it is 42727.
- 4
42727 has no twin: neither 42725 nor 42729 is prime.
Primes around the 4468th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4465 | 42703 | 2 |
| 4466 | 42709 | 6 |
| 4467 | 42719 | 10 |
| 4468 | 42727 | 8 |
| 4469 | 42737 | 10 |
| 4470 | 42743 | 6 |
| 4471 | 42751 | 8 |
Questions
What is the 4468th prime number?
42727.
Which prime number is 42727?
42727 is the 4468th prime number.
What is the sum of the first 4468 primes?
90,147,823.