What is the 1461st prime number?
The 1461st prime number is 12227. The next prime is 12239 (a gap of 12) and the one before is 12211.
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 1461st one is 12227.
- 2
12227 is prime because no prime up to ā12227 ā 110.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1461st prime is close to 1461 Ć ln(1461) ā 10646, and here it is 12227.
- 4
12227 has no twin: neither 12225 nor 12229 is prime.
Primes around the 1461st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1458 | 12197 | 34 |
| 1459 | 12203 | 6 |
| 1460 | 12211 | 8 |
| 1461 | 12227 | 16 |
| 1462 | 12239 | 12 |
| 1463 | 12241 | 2 |
| 1464 | 12251 | 10 |
Questions
What is the 1461st prime number?
12227.
Which prime number is 12227?
12227 is the 1461st prime number.
What is the sum of the first 1461 primes?
8,313,024.