What is the 1463rd prime number?
The 1463rd prime number is 12241. The next prime is 12251 (a gap of 10) and the one before is 12239.
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 1463rd one is 12241.
- 2
12241 is prime because no prime up to ā12241 ā 110.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1463rd prime is close to 1463 Ć ln(1463) ā 10663, and here it is 12241.
- 4
12241 is a twin prime: 12239 and 12241 are both prime.
Primes around the 1463rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1460 | 12211 | 8 |
| 1461 | 12227 | 16 |
| 1462 | 12239 | 12 |
| 1463 | 12241 | 2 |
| 1464 | 12251 | 10 |
| 1465 | 12253 | 2 |
| 1466 | 12263 | 10 |
Questions
What is the 1463rd prime number?
12241.
Which prime number is 12241?
12241 is the 1463rd prime number.
What is the sum of the first 1463 primes?
8,337,504.