What is the 1673rd prime number?
The 1673rd prime number is 14243. The next prime is 14249 (a gap of 6) and the one before is 14221.
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 1673rd one is 14243.
- 2
14243 is prime because no prime up to ā14243 ā 119.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1673rd prime is close to 1673 Ć ln(1673) ā 12418, and here it is 14243.
- 4
14243 has no twin: neither 14241 nor 14245 is prime.
Primes around the 1673rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1670 | 14197 | 20 |
| 1671 | 14207 | 10 |
| 1672 | 14221 | 14 |
| 1673 | 14243 | 22 |
| 1674 | 14249 | 6 |
| 1675 | 14251 | 2 |
| 1676 | 14281 | 30 |
Questions
What is the 1673rd prime number?
14243.
Which prime number is 14243?
14243 is the 1673rd prime number.
What is the sum of the first 1673 primes?
11,111,032.