What is the 1481st prime number?
The 1481st prime number is 12409. The next prime is 12413 (a gap of 4) and the one before is 12401.
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 1481st one is 12409.
- 2
12409 is prime because no prime up to ā12409 ā 111.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1481st prime is close to 1481 Ć ln(1481) ā 10812, and here it is 12409.
- 4
12409 has no twin: neither 12407 nor 12411 is prime.
Primes around the 1481st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1478 | 12379 | 2 |
| 1479 | 12391 | 12 |
| 1480 | 12401 | 10 |
| 1481 | 12409 | 8 |
| 1482 | 12413 | 4 |
| 1483 | 12421 | 8 |
| 1484 | 12433 | 12 |
Questions
What is the 1481st prime number?
12409.
Which prime number is 12409?
12409 is the 1481st prime number.
What is the sum of the first 1481 primes?
8,559,360.