What is the 1493rd prime number?
The 1493rd prime number is 12503. The next prime is 12511 (a gap of 8) and the one before is 12497.
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 1493rd one is 12503.
- 2
12503 is prime because no prime up to ā12503 ā 111.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1493rd prime is close to 1493 Ć ln(1493) ā 10912, and here it is 12503.
- 4
12503 has no twin: neither 12501 nor 12505 is prime.
Primes around the 1493rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1490 | 12487 | 8 |
| 1491 | 12491 | 4 |
| 1492 | 12497 | 6 |
| 1493 | 12503 | 6 |
| 1494 | 12511 | 8 |
| 1495 | 12517 | 6 |
| 1496 | 12527 | 10 |
Questions
What is the 1493rd prime number?
12503.
Which prime number is 12503?
12503 is the 1493rd prime number.
What is the sum of the first 1493 primes?
8,708,902.