What is the 1460th prime number?
The 1460th prime number is 12211. The next prime is 12227 (a gap of 16) and the one before is 12203.
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 1460th one is 12211.
- 2
12211 is prime because no prime up to ā12211 ā 110.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1460th prime is close to 1460 Ć ln(1460) ā 10638, and here it is 12211.
- 4
12211 has no twin: neither 12209 nor 12213 is prime.
Primes around the 1460th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1457 | 12163 | 2 |
| 1458 | 12197 | 34 |
| 1459 | 12203 | 6 |
| 1460 | 12211 | 8 |
| 1461 | 12227 | 16 |
| 1462 | 12239 | 12 |
| 1463 | 12241 | 2 |
Questions
What is the 1460th prime number?
12211.
Which prime number is 12211?
12211 is the 1460th prime number.
What is the sum of the first 1460 primes?
8,300,797.