What is the 1468th prime number?
The 1468th prime number is 12277. The next prime is 12281 (a gap of 4) and the one before is 12269.
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 1468th one is 12277.
- 2
12277 is prime because no prime up to ā12277 ā 110.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1468th prime is close to 1468 Ć ln(1468) ā 10704, and here it is 12277.
- 4
12277 has no twin: neither 12275 nor 12279 is prime.
Primes around the 1468th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1465 | 12253 | 2 |
| 1466 | 12263 | 10 |
| 1467 | 12269 | 6 |
| 1468 | 12277 | 8 |
| 1469 | 12281 | 4 |
| 1470 | 12289 | 8 |
| 1471 | 12301 | 12 |
Questions
What is the 1468th prime number?
12277.
Which prime number is 12277?
12277 is the 1468th prime number.
What is the sum of the first 1468 primes?
8,398,817.