What is the 1383rd prime number?
The 1383rd prime number is 11471. The next prime is 11483 (a gap of 12) and the one before is 11467.
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 1383rd one is 11471.
- 2
11471 is prime because no prime up to ā11471 ā 107.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1383rd prime is close to 1383 Ć ln(1383) ā 10002, and here it is 11471.
- 4
11471 has no twin: neither 11469 nor 11473 is prime.
Primes around the 1383rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1380 | 11443 | 6 |
| 1381 | 11447 | 4 |
| 1382 | 11467 | 20 |
| 1383 | 11471 | 4 |
| 1384 | 11483 | 12 |
| 1385 | 11489 | 6 |
| 1386 | 11491 | 2 |
Questions
What is the 1383rd prime number?
11471.
Which prime number is 11471?
11471 is the 1383rd prime number.
What is the sum of the first 1383 primes?
7,388,076.