What is the 1379th prime number?
The 1379th prime number is 11437. The next prime is 11443 (a gap of 6) and the one before is 11423.
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 1379th one is 11437.
- 2
11437 is prime because no prime up to ā11437 ā 106.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1379th prime is close to 1379 Ć ln(1379) ā 9969, and here it is 11437.
- 4
11437 has no twin: neither 11435 nor 11439 is prime.
Primes around the 1379th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1376 | 11399 | 6 |
| 1377 | 11411 | 12 |
| 1378 | 11423 | 12 |
| 1379 | 11437 | 14 |
| 1380 | 11443 | 6 |
| 1381 | 11447 | 4 |
| 1382 | 11467 | 20 |
Questions
What is the 1379th prime number?
11437.
Which prime number is 11437?
11437 is the 1379th prime number.
What is the sum of the first 1379 primes?
7,342,248.