What is the 1480th prime number?
The 1480th prime number is 12401. The next prime is 12409 (a gap of 8) and the one before is 12391.
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 1480th one is 12401.
- 2
12401 is prime because no prime up to ā12401 ā 111.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1480th prime is close to 1480 Ć ln(1480) ā 10804, and here it is 12401.
- 4
12401 has no twin: neither 12399 nor 12403 is prime.
Primes around the 1480th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1477 | 12377 | 4 |
| 1478 | 12379 | 2 |
| 1479 | 12391 | 12 |
| 1480 | 12401 | 10 |
| 1481 | 12409 | 8 |
| 1482 | 12413 | 4 |
| 1483 | 12421 | 8 |
Questions
What is the 1480th prime number?
12401.
Which prime number is 12401?
12401 is the 1480th prime number.
What is the sum of the first 1480 primes?
8,546,951.