What is the 1348th prime number?
The 1348th prime number is 11119. The next prime is 11131 (a gap of 12) and the one before is 11117.
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 1348th one is 11119.
- 2
11119 is prime because no prime up to ā11119 ā 105.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1348th prime is close to 1348 Ć ln(1348) ā 9714, and here it is 11119.
- 4
11119 is a twin prime: 11117 and 11119 are both prime.
Primes around the 1348th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1345 | 11093 | 6 |
| 1346 | 11113 | 20 |
| 1347 | 11117 | 4 |
| 1348 | 11119 | 2 |
| 1349 | 11131 | 12 |
| 1350 | 11149 | 18 |
| 1351 | 11159 | 10 |
Questions
What is the 1348th prime number?
11119.
Which prime number is 11119?
11119 is the 1348th prime number.
What is the sum of the first 1348 primes?
6,992,531.