What is the 1494th prime number?
The 1494th prime number is 12511. The next prime is 12517 (a gap of 6) and the one before is 12503.
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 1494th one is 12511.
- 2
12511 is prime because no prime up to ā12511 ā 111.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1494th prime is close to 1494 Ć ln(1494) ā 10920, and here it is 12511.
- 4
12511 has no twin: neither 12509 nor 12513 is prime.
Primes around the 1494th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1491 | 12491 | 4 |
| 1492 | 12497 | 6 |
| 1493 | 12503 | 6 |
| 1494 | 12511 | 8 |
| 1495 | 12517 | 6 |
| 1496 | 12527 | 10 |
| 1497 | 12539 | 12 |
Questions
What is the 1494th prime number?
12511.
Which prime number is 12511?
12511 is the 1494th prime number.
What is the sum of the first 1494 primes?
8,721,413.