What is the 1466th prime number?
The 1466th prime number is 12263. The next prime is 12269 (a gap of 6) and the one before is 12253.
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 1466th one is 12263.
- 2
12263 is prime because no prime up to ā12263 ā 110.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1466th prime is close to 1466 Ć ln(1466) ā 10688, and here it is 12263.
- 4
12263 has no twin: neither 12261 nor 12265 is prime.
Primes around the 1466th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1463 | 12241 | 2 |
| 1464 | 12251 | 10 |
| 1465 | 12253 | 2 |
| 1466 | 12263 | 10 |
| 1467 | 12269 | 6 |
| 1468 | 12277 | 8 |
| 1469 | 12281 | 4 |
Questions
What is the 1466th prime number?
12263.
Which prime number is 12263?
12263 is the 1466th prime number.
What is the sum of the first 1466 primes?
8,374,271.