What is the 1464th prime number?
The 1464th prime number is 12251. The next prime is 12253 (a gap of 2) and the one before is 12241.
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 1464th one is 12251.
- 2
12251 is prime because no prime up to ā12251 ā 110.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1464th prime is close to 1464 Ć ln(1464) ā 10671, and here it is 12251.
- 4
12251 is a twin prime: 12251 and 12253 are both prime.
Primes around the 1464th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1461 | 12227 | 16 |
| 1462 | 12239 | 12 |
| 1463 | 12241 | 2 |
| 1464 | 12251 | 10 |
| 1465 | 12253 | 2 |
| 1466 | 12263 | 10 |
| 1467 | 12269 | 6 |
Questions
What is the 1464th prime number?
12251.
Which prime number is 12251?
12251 is the 1464th prime number.
What is the sum of the first 1464 primes?
8,349,755.