What is the 1492nd prime number?
The 1492nd prime number is 12497. The next prime is 12503 (a gap of 6) and the one before is 12491.
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 1492nd one is 12497.
- 2
12497 is prime because no prime up to ā12497 ā 111.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1492nd prime is close to 1492 Ć ln(1492) ā 10903, and here it is 12497.
- 4
12497 has no twin: neither 12495 nor 12499 is prime.
Primes around the 1492nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1489 | 12479 | 6 |
| 1490 | 12487 | 8 |
| 1491 | 12491 | 4 |
| 1492 | 12497 | 6 |
| 1493 | 12503 | 6 |
| 1494 | 12511 | 8 |
| 1495 | 12517 | 6 |
Questions
What is the 1492nd prime number?
12497.
Which prime number is 12497?
12497 is the 1492nd prime number.
What is the sum of the first 1492 primes?
8,696,399.