What is the 1362nd prime number?
The 1362nd prime number is 11261. The next prime is 11273 (a gap of 12) and the one before is 11257.
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 1362nd one is 11261.
- 2
11261 is prime because no prime up to ā11261 ā 106.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1362nd prime is close to 1362 Ć ln(1362) ā 9829, and here it is 11261.
- 4
11261 has no twin: neither 11259 nor 11263 is prime.
Primes around the 1362nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1359 | 11243 | 4 |
| 1360 | 11251 | 8 |
| 1361 | 11257 | 6 |
| 1362 | 11261 | 4 |
| 1363 | 11273 | 12 |
| 1364 | 11279 | 6 |
| 1365 | 11287 | 8 |
Questions
What is the 1362nd prime number?
11261.
Which prime number is 11261?
11261 is the 1362nd prime number.
What is the sum of the first 1362 primes?
7,149,313.