What is the 1347th prime number?
The 1347th prime number is 11117. The next prime is 11119 (a gap of 2) and the one before is 11113.
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 1347th one is 11117.
- 2
11117 is prime because no prime up to ā11117 ā 105.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1347th prime is close to 1347 Ć ln(1347) ā 9706, and here it is 11117.
- 4
11117 is a twin prime: 11117 and 11119 are both prime.
Primes around the 1347th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1344 | 11087 | 4 |
| 1345 | 11093 | 6 |
| 1346 | 11113 | 20 |
| 1347 | 11117 | 4 |
| 1348 | 11119 | 2 |
| 1349 | 11131 | 12 |
| 1350 | 11149 | 18 |
Questions
What is the 1347th prime number?
11117.
Which prime number is 11117?
11117 is the 1347th prime number.
What is the sum of the first 1347 primes?
6,981,412.