What is the 1471st prime number?
The 1471st prime number is 12301. The next prime is 12323 (a gap of 22) and the one before is 12289.
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 1471st one is 12301.
- 2
12301 is prime because no prime up to ā12301 ā 110.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1471st prime is close to 1471 Ć ln(1471) ā 10729, and here it is 12301.
- 4
12301 has no twin: neither 12299 nor 12303 is prime.
Primes around the 1471st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1468 | 12277 | 8 |
| 1469 | 12281 | 4 |
| 1470 | 12289 | 8 |
| 1471 | 12301 | 12 |
| 1472 | 12323 | 22 |
| 1473 | 12329 | 6 |
| 1474 | 12343 | 14 |
Questions
What is the 1471st prime number?
12301.
Which prime number is 12301?
12301 is the 1471st prime number.
What is the sum of the first 1471 primes?
8,435,688.