What is the 1382nd prime number?
The 1382nd prime number is 11467. The next prime is 11471 (a gap of 4) and the one before is 11447.
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 1382nd one is 11467.
- 2
11467 is prime because no prime up to ā11467 ā 107.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1382nd prime is close to 1382 Ć ln(1382) ā 9994, and here it is 11467.
- 4
11467 has no twin: neither 11465 nor 11469 is prime.
Primes around the 1382nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1379 | 11437 | 14 |
| 1380 | 11443 | 6 |
| 1381 | 11447 | 4 |
| 1382 | 11467 | 20 |
| 1383 | 11471 | 4 |
| 1384 | 11483 | 12 |
| 1385 | 11489 | 6 |
Questions
What is the 1382nd prime number?
11467.
Which prime number is 11467?
11467 is the 1382nd prime number.
What is the sum of the first 1382 primes?
7,376,605.