What is the 1340th prime number?
The 1340th prime number is 11059. The next prime is 11069 (a gap of 10) and the one before is 11057.
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 1340th one is 11059.
- 2
11059 is prime because no prime up to ā11059 ā 105.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1340th prime is close to 1340 Ć ln(1340) ā 9649, and here it is 11059.
- 4
11059 is a twin prime: 11057 and 11059 are both prime.
Primes around the 1340th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1337 | 11027 | 24 |
| 1338 | 11047 | 20 |
| 1339 | 11057 | 10 |
| 1340 | 11059 | 2 |
| 1341 | 11069 | 10 |
| 1342 | 11071 | 2 |
| 1343 | 11083 | 12 |
Questions
What is the 1340th prime number?
11059.
Which prime number is 11059?
11059 is the 1340th prime number.
What is the sum of the first 1340 primes?
6,903,779.