What is the 1472nd prime number?
The 1472nd prime number is 12323. The next prime is 12329 (a gap of 6) and the one before is 12301.
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 1472nd one is 12323.
- 2
12323 is prime because no prime up to ā12323 ā 111.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1472nd prime is close to 1472 Ć ln(1472) ā 10737, and here it is 12323.
- 4
12323 has no twin: neither 12321 nor 12325 is prime.
Primes around the 1472nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1469 | 12281 | 4 |
| 1470 | 12289 | 8 |
| 1471 | 12301 | 12 |
| 1472 | 12323 | 22 |
| 1473 | 12329 | 6 |
| 1474 | 12343 | 14 |
| 1475 | 12347 | 4 |
Questions
What is the 1472nd prime number?
12323.
Which prime number is 12323?
12323 is the 1472nd prime number.
What is the sum of the first 1472 primes?
8,448,011.