What is the 1489th prime number?
The 1489th prime number is 12479. The next prime is 12487 (a gap of 8) and the one before is 12473.
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 1489th one is 12479.
- 2
12479 is prime because no prime up to ā12479 ā 111.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1489th prime is close to 1489 Ć ln(1489) ā 10878, and here it is 12479.
- 4
12479 has no twin: neither 12477 nor 12481 is prime.
Primes around the 1489th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1486 | 12451 | 14 |
| 1487 | 12457 | 6 |
| 1488 | 12473 | 16 |
| 1489 | 12479 | 6 |
| 1490 | 12487 | 8 |
| 1491 | 12491 | 4 |
| 1492 | 12497 | 6 |
Questions
What is the 1489th prime number?
12479.
Which prime number is 12479?
12479 is the 1489th prime number.
What is the sum of the first 1489 primes?
8,658,924.