What is the 1344th prime number?
The 1344th prime number is 11087. The next prime is 11093 (a gap of 6) and the one before is 11083.
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 1344th one is 11087.
- 2
11087 is prime because no prime up to ā11087 ā 105.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1344th prime is close to 1344 Ć ln(1344) ā 9681, and here it is 11087.
- 4
11087 has no twin: neither 11085 nor 11089 is prime.
Primes around the 1344th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1341 | 11069 | 10 |
| 1342 | 11071 | 2 |
| 1343 | 11083 | 12 |
| 1344 | 11087 | 4 |
| 1345 | 11093 | 6 |
| 1346 | 11113 | 20 |
| 1347 | 11117 | 4 |
Questions
What is the 1344th prime number?
11087.
Which prime number is 11087?
11087 is the 1344th prime number.
What is the sum of the first 1344 primes?
6,948,089.