What is the 1365th prime number?
The 1365th prime number is 11287. The next prime is 11299 (a gap of 12) and the one before is 11279.
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 1365th one is 11287.
- 2
11287 is prime because no prime up to ā11287 ā 106.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1365th prime is close to 1365 Ć ln(1365) ā 9854, and here it is 11287.
- 4
11287 has no twin: neither 11285 nor 11289 is prime.
Primes around the 1365th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1362 | 11261 | 4 |
| 1363 | 11273 | 12 |
| 1364 | 11279 | 6 |
| 1365 | 11287 | 8 |
| 1366 | 11299 | 12 |
| 1367 | 11311 | 12 |
| 1368 | 11317 | 6 |
Questions
What is the 1365th prime number?
11287.
Which prime number is 11287?
11287 is the 1365th prime number.
What is the sum of the first 1365 primes?
7,183,152.