What is the 1369th prime number?
The 1369th prime number is 11321. The next prime is 11329 (a gap of 8) and the one before is 11317.
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 1369th one is 11321.
- 2
11321 is prime because no prime up to ā11321 ā 106.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1369th prime is close to 1369 Ć ln(1369) ā 9887, and here it is 11321.
- 4
11321 has no twin: neither 11319 nor 11323 is prime.
Primes around the 1369th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1366 | 11299 | 12 |
| 1367 | 11311 | 12 |
| 1368 | 11317 | 6 |
| 1369 | 11321 | 4 |
| 1370 | 11329 | 8 |
| 1371 | 11351 | 22 |
| 1372 | 11353 | 2 |
Questions
What is the 1369th prime number?
11321.
Which prime number is 11321?
11321 is the 1369th prime number.
What is the sum of the first 1369 primes?
7,228,400.