What is the 1364th prime number?
The 1364th prime number is 11279. The next prime is 11287 (a gap of 8) and the one before is 11273.
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 1364th one is 11279.
- 2
11279 is prime because no prime up to ā11279 ā 106.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1364th prime is close to 1364 Ć ln(1364) ā 9846, and here it is 11279.
- 4
11279 has no twin: neither 11277 nor 11281 is prime.
Primes around the 1364th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1361 | 11257 | 6 |
| 1362 | 11261 | 4 |
| 1363 | 11273 | 12 |
| 1364 | 11279 | 6 |
| 1365 | 11287 | 8 |
| 1366 | 11299 | 12 |
| 1367 | 11311 | 12 |
Questions
What is the 1364th prime number?
11279.
Which prime number is 11279?
11279 is the 1364th prime number.
What is the sum of the first 1364 primes?
7,171,865.