What is the 1363rd prime number?
The 1363rd prime number is 11273. The next prime is 11279 (a gap of 6) and the one before is 11261.
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 1363rd one is 11273.
- 2
11273 is prime because no prime up to ā11273 ā 106.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1363rd prime is close to 1363 Ć ln(1363) ā 9837, and here it is 11273.
- 4
11273 has no twin: neither 11271 nor 11275 is prime.
Primes around the 1363rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1360 | 11251 | 8 |
| 1361 | 11257 | 6 |
| 1362 | 11261 | 4 |
| 1363 | 11273 | 12 |
| 1364 | 11279 | 6 |
| 1365 | 11287 | 8 |
| 1366 | 11299 | 12 |
Questions
What is the 1363rd prime number?
11273.
Which prime number is 11273?
11273 is the 1363rd prime number.
What is the sum of the first 1363 primes?
7,160,586.