What is the 1343rd prime number?
The 1343rd prime number is 11083. The next prime is 11087 (a gap of 4) and the one before is 11071.
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 1343rd one is 11083.
- 2
11083 is prime because no prime up to ā11083 ā 105.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1343rd prime is close to 1343 Ć ln(1343) ā 9673, and here it is 11083.
- 4
11083 has no twin: neither 11081 nor 11085 is prime.
Primes around the 1343rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1340 | 11059 | 2 |
| 1341 | 11069 | 10 |
| 1342 | 11071 | 2 |
| 1343 | 11083 | 12 |
| 1344 | 11087 | 4 |
| 1345 | 11093 | 6 |
| 1346 | 11113 | 20 |
Questions
What is the 1343rd prime number?
11083.
Which prime number is 11083?
11083 is the 1343rd prime number.
What is the sum of the first 1343 primes?
6,937,002.