What is the 1378th prime number?
The 1378th prime number is 11423. The next prime is 11437 (a gap of 14) and the one before is 11411.
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 1378th one is 11423.
- 2
11423 is prime because no prime up to ā11423 ā 106.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1378th prime is close to 1378 Ć ln(1378) ā 9961, and here it is 11423.
- 4
11423 has no twin: neither 11421 nor 11425 is prime.
Primes around the 1378th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1375 | 11393 | 10 |
| 1376 | 11399 | 6 |
| 1377 | 11411 | 12 |
| 1378 | 11423 | 12 |
| 1379 | 11437 | 14 |
| 1380 | 11443 | 6 |
| 1381 | 11447 | 4 |
Questions
What is the 1378th prime number?
11423.
Which prime number is 11423?
11423 is the 1378th prime number.
What is the sum of the first 1378 primes?
7,330,811.