What is the 4473rd prime number?
The 4473rd prime number is 42773. The next prime is 42787 (a gap of 14) and the one before is 42767.
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 4473rd one is 42773.
- 2
42773 is prime because no prime up to ā42773 ā 206.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4473rd prime is close to 4473 Ć ln(4473) ā 37599, and here it is 42773.
- 4
42773 has no twin: neither 42771 nor 42775 is prime.
Primes around the 4473rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4470 | 42743 | 6 |
| 4471 | 42751 | 8 |
| 4472 | 42767 | 16 |
| 4473 | 42773 | 6 |
| 4474 | 42787 | 14 |
| 4475 | 42793 | 6 |
| 4476 | 42797 | 4 |
Questions
What is the 4473rd prime number?
42773.
Which prime number is 42773?
42773 is the 4473rd prime number.
What is the sum of the first 4473 primes?
90,361,594.