What is the 1367th prime number?
The 1367th prime number is 11311. The next prime is 11317 (a gap of 6) and the one before is 11299.
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 1367th one is 11311.
- 2
11311 is prime because no prime up to ā11311 ā 106.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1367th prime is close to 1367 Ć ln(1367) ā 9870, and here it is 11311.
- 4
11311 has no twin: neither 11309 nor 11313 is prime.
Primes around the 1367th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1364 | 11279 | 6 |
| 1365 | 11287 | 8 |
| 1366 | 11299 | 12 |
| 1367 | 11311 | 12 |
| 1368 | 11317 | 6 |
| 1369 | 11321 | 4 |
| 1370 | 11329 | 8 |
Questions
What is the 1367th prime number?
11311.
Which prime number is 11311?
11311 is the 1367th prime number.
What is the sum of the first 1367 primes?
7,205,762.