What is the 1360th prime number?
The 1360th prime number is 11251. The next prime is 11257 (a gap of 6) and the one before is 11243.
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 1360th one is 11251.
- 2
11251 is prime because no prime up to ā11251 ā 106.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1360th prime is close to 1360 Ć ln(1360) ā 9813, and here it is 11251.
- 4
11251 has no twin: neither 11249 nor 11253 is prime.
Primes around the 1360th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1357 | 11213 | 16 |
| 1358 | 11239 | 26 |
| 1359 | 11243 | 4 |
| 1360 | 11251 | 8 |
| 1361 | 11257 | 6 |
| 1362 | 11261 | 4 |
| 1363 | 11273 | 12 |
Questions
What is the 1360th prime number?
11251.
Which prime number is 11251?
11251 is the 1360th prime number.
What is the sum of the first 1360 primes?
7,126,795.