What is the 1475th prime number?
The 1475th prime number is 12347. The next prime is 12373 (a gap of 26) and the one before is 12343.
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 1475th one is 12347.
- 2
12347 is prime because no prime up to ā12347 ā 111.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1475th prime is close to 1475 Ć ln(1475) ā 10762, and here it is 12347.
- 4
12347 has no twin: neither 12345 nor 12349 is prime.
Primes around the 1475th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1472 | 12323 | 22 |
| 1473 | 12329 | 6 |
| 1474 | 12343 | 14 |
| 1475 | 12347 | 4 |
| 1476 | 12373 | 26 |
| 1477 | 12377 | 4 |
| 1478 | 12379 | 2 |
Questions
What is the 1475th prime number?
12347.
Which prime number is 12347?
12347 is the 1475th prime number.
What is the sum of the first 1475 primes?
8,485,030.