What is the 1368th prime number?
The 1368th prime number is 11317. The next prime is 11321 (a gap of 4) and the one before is 11311.
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 1368th one is 11317.
- 2
11317 is prime because no prime up to ā11317 ā 106.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1368th prime is close to 1368 Ć ln(1368) ā 9878, and here it is 11317.
- 4
11317 has no twin: neither 11315 nor 11319 is prime.
Primes around the 1368th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1365 | 11287 | 8 |
| 1366 | 11299 | 12 |
| 1367 | 11311 | 12 |
| 1368 | 11317 | 6 |
| 1369 | 11321 | 4 |
| 1370 | 11329 | 8 |
| 1371 | 11351 | 22 |
Questions
What is the 1368th prime number?
11317.
Which prime number is 11317?
11317 is the 1368th prime number.
What is the sum of the first 1368 primes?
7,217,079.