What is the 1271st prime number?
The 1271st prime number is 10357. The next prime is 10369 (a gap of 12) and the one before is 10343.
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 1271st one is 10357.
- 2
10357 is prime because no prime up to ā10357 ā 101.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1271st prime is close to 1271 Ć ln(1271) ā 9085, and here it is 10357.
- 4
10357 has no twin: neither 10355 nor 10359 is prime.
Primes around the 1271st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1268 | 10333 | 2 |
| 1269 | 10337 | 4 |
| 1270 | 10343 | 6 |
| 1271 | 10357 | 14 |
| 1272 | 10369 | 12 |
| 1273 | 10391 | 22 |
| 1274 | 10399 | 8 |
Questions
What is the 1271st prime number?
10357.
Which prime number is 10357?
10357 is the 1271st prime number.
What is the sum of the first 1271 primes?
6,164,342.