What is the 1474th prime number?
The 1474th prime number is 12343. The next prime is 12347 (a gap of 4) and the one before is 12329.
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 1474th one is 12343.
- 2
12343 is prime because no prime up to ā12343 ā 111.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1474th prime is close to 1474 Ć ln(1474) ā 10754, and here it is 12343.
- 4
12343 has no twin: neither 12341 nor 12345 is prime.
Primes around the 1474th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1471 | 12301 | 12 |
| 1472 | 12323 | 22 |
| 1473 | 12329 | 6 |
| 1474 | 12343 | 14 |
| 1475 | 12347 | 4 |
| 1476 | 12373 | 26 |
| 1477 | 12377 | 4 |
Questions
What is the 1474th prime number?
12343.
Which prime number is 12343?
12343 is the 1474th prime number.
What is the sum of the first 1474 primes?
8,472,683.