What is the 1478th prime number?
The 1478th prime number is 12379. The next prime is 12391 (a gap of 12) and the one before is 12377.
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 1478th one is 12379.
- 2
12379 is prime because no prime up to ā12379 ā 111.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1478th prime is close to 1478 Ć ln(1478) ā 10787, and here it is 12379.
- 4
12379 is a twin prime: 12377 and 12379 are both prime.
Primes around the 1478th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1475 | 12347 | 4 |
| 1476 | 12373 | 26 |
| 1477 | 12377 | 4 |
| 1478 | 12379 | 2 |
| 1479 | 12391 | 12 |
| 1480 | 12401 | 10 |
| 1481 | 12409 | 8 |
Questions
What is the 1478th prime number?
12379.
Which prime number is 12379?
12379 is the 1478th prime number.
What is the sum of the first 1478 primes?
8,522,159.