What is the 1487th prime number?
The 1487th prime number is 12457. The next prime is 12473 (a gap of 16) and the one before is 12451.
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 1487th one is 12457.
- 2
12457 is prime because no prime up to ā12457 ā 111.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1487th prime is close to 1487 Ć ln(1487) ā 10862, and here it is 12457.
- 4
12457 has no twin: neither 12455 nor 12459 is prime.
Primes around the 1487th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1484 | 12433 | 12 |
| 1485 | 12437 | 4 |
| 1486 | 12451 | 14 |
| 1487 | 12457 | 6 |
| 1488 | 12473 | 16 |
| 1489 | 12479 | 6 |
| 1490 | 12487 | 8 |
Questions
What is the 1487th prime number?
12457.
Which prime number is 12457?
12457 is the 1487th prime number.
What is the sum of the first 1487 primes?
8,633,972.