What is the 1341st prime number?
The 1341st prime number is 11069. The next prime is 11071 (a gap of 2) and the one before is 11059.
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 1341st one is 11069.
- 2
11069 is prime because no prime up to ā11069 ā 105.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1341st prime is close to 1341 Ć ln(1341) ā 9657, and here it is 11069.
- 4
11069 is a twin prime: 11069 and 11071 are both prime.
Primes around the 1341st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1338 | 11047 | 20 |
| 1339 | 11057 | 10 |
| 1340 | 11059 | 2 |
| 1341 | 11069 | 10 |
| 1342 | 11071 | 2 |
| 1343 | 11083 | 12 |
| 1344 | 11087 | 4 |
Questions
What is the 1341st prime number?
11069.
Which prime number is 11069?
11069 is the 1341st prime number.
What is the sum of the first 1341 primes?
6,914,848.