What is the 1361st prime number?
The 1361st prime number is 11257. The next prime is 11261 (a gap of 4) and the one before is 11251.
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 1361st one is 11257.
- 2
11257 is prime because no prime up to ā11257 ā 106.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1361st prime is close to 1361 Ć ln(1361) ā 9821, and here it is 11257.
- 4
11257 has no twin: neither 11255 nor 11259 is prime.
Primes around the 1361st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1358 | 11239 | 26 |
| 1359 | 11243 | 4 |
| 1360 | 11251 | 8 |
| 1361 | 11257 | 6 |
| 1362 | 11261 | 4 |
| 1363 | 11273 | 12 |
| 1364 | 11279 | 6 |
Questions
What is the 1361st prime number?
11257.
Which prime number is 11257?
11257 is the 1361st prime number.
What is the sum of the first 1361 primes?
7,138,052.