What is the 1473rd prime number?
The 1473rd prime number is 12329. The next prime is 12343 (a gap of 14) and the one before is 12323.
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 1473rd one is 12329.
- 2
12329 is prime because no prime up to ā12329 ā 111.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1473rd prime is close to 1473 Ć ln(1473) ā 10746, and here it is 12329.
- 4
12329 has no twin: neither 12327 nor 12331 is prime.
Primes around the 1473rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1470 | 12289 | 8 |
| 1471 | 12301 | 12 |
| 1472 | 12323 | 22 |
| 1473 | 12329 | 6 |
| 1474 | 12343 | 14 |
| 1475 | 12347 | 4 |
| 1476 | 12373 | 26 |
Questions
What is the 1473rd prime number?
12329.
Which prime number is 12329?
12329 is the 1473rd prime number.
What is the sum of the first 1473 primes?
8,460,340.