What is the 1491st prime number?
The 1491st prime number is 12491. The next prime is 12497 (a gap of 6) and the one before is 12487.
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 1491st one is 12491.
- 2
12491 is prime because no prime up to ā12491 ā 111.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1491st prime is close to 1491 Ć ln(1491) ā 10895, and here it is 12491.
- 4
12491 has no twin: neither 12489 nor 12493 is prime.
Primes around the 1491st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1488 | 12473 | 16 |
| 1489 | 12479 | 6 |
| 1490 | 12487 | 8 |
| 1491 | 12491 | 4 |
| 1492 | 12497 | 6 |
| 1493 | 12503 | 6 |
| 1494 | 12511 | 8 |
Questions
What is the 1491st prime number?
12491.
Which prime number is 12491?
12491 is the 1491st prime number.
What is the sum of the first 1491 primes?
8,683,902.