What is the 2473rd prime number?
The 2473rd prime number is 22067. The next prime is 22073 (a gap of 6) and the one before is 22063.
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 2473rd one is 22067.
- 2
22067 is prime because no prime up to ā22067 ā 148.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2473rd prime is close to 2473 Ć ln(2473) ā 19322, and here it is 22067.
- 4
22067 has no twin: neither 22065 nor 22069 is prime.
Primes around the 2473rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2470 | 22039 | 2 |
| 2471 | 22051 | 12 |
| 2472 | 22063 | 12 |
| 2473 | 22067 | 4 |
| 2474 | 22073 | 6 |
| 2475 | 22079 | 6 |
| 2476 | 22091 | 12 |
Questions
What is the 2473rd prime number?
22067.
Which prime number is 22067?
22067 is the 2473rd prime number.
What is the sum of the first 2473 primes?
25,611,896.