What is the 1465th prime number?
The 1465th prime number is 12253. The next prime is 12263 (a gap of 10) and the one before is 12251.
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 1465th one is 12253.
- 2
12253 is prime because no prime up to ā12253 ā 110.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1465th prime is close to 1465 Ć ln(1465) ā 10679, and here it is 12253.
- 4
12253 is a twin prime: 12251 and 12253 are both prime.
Primes around the 1465th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1462 | 12239 | 12 |
| 1463 | 12241 | 2 |
| 1464 | 12251 | 10 |
| 1465 | 12253 | 2 |
| 1466 | 12263 | 10 |
| 1467 | 12269 | 6 |
| 1468 | 12277 | 8 |
Questions
What is the 1465th prime number?
12253.
Which prime number is 12253?
12253 is the 1465th prime number.
What is the sum of the first 1465 primes?
8,362,008.