What is the 1490th prime number?
The 1490th prime number is 12487. The next prime is 12491 (a gap of 4) and the one before is 12479.
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 1490th one is 12487.
- 2
12487 is prime because no prime up to ā12487 ā 111.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1490th prime is close to 1490 Ć ln(1490) ā 10887, and here it is 12487.
- 4
12487 has no twin: neither 12485 nor 12489 is prime.
Primes around the 1490th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1487 | 12457 | 6 |
| 1488 | 12473 | 16 |
| 1489 | 12479 | 6 |
| 1490 | 12487 | 8 |
| 1491 | 12491 | 4 |
| 1492 | 12497 | 6 |
| 1493 | 12503 | 6 |
Questions
What is the 1490th prime number?
12487.
Which prime number is 12487?
12487 is the 1490th prime number.
What is the sum of the first 1490 primes?
8,671,411.