What is the 1462nd prime number?
The 1462nd prime number is 12239. The next prime is 12241 (a gap of 2) and the one before is 12227.
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 1462nd one is 12239.
- 2
12239 is prime because no prime up to ā12239 ā 110.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1462nd prime is close to 1462 Ć ln(1462) ā 10654, and here it is 12239.
- 4
12239 is a twin prime: 12239 and 12241 are both prime.
Primes around the 1462nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1459 | 12203 | 6 |
| 1460 | 12211 | 8 |
| 1461 | 12227 | 16 |
| 1462 | 12239 | 12 |
| 1463 | 12241 | 2 |
| 1464 | 12251 | 10 |
| 1465 | 12253 | 2 |
Questions
What is the 1462nd prime number?
12239.
Which prime number is 12239?
12239 is the 1462nd prime number.
What is the sum of the first 1462 primes?
8,325,263.