What is the 1342nd prime number?
The 1342nd prime number is 11071. The next prime is 11083 (a gap of 12) and the one before is 11069.
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 1342nd one is 11071.
- 2
11071 is prime because no prime up to ā11071 ā 105.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1342nd prime is close to 1342 Ć ln(1342) ā 9665, and here it is 11071.
- 4
11071 is a twin prime: 11069 and 11071 are both prime.
Primes around the 1342nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1339 | 11057 | 10 |
| 1340 | 11059 | 2 |
| 1341 | 11069 | 10 |
| 1342 | 11071 | 2 |
| 1343 | 11083 | 12 |
| 1344 | 11087 | 4 |
| 1345 | 11093 | 6 |
Questions
What is the 1342nd prime number?
11071.
Which prime number is 11071?
11071 is the 1342nd prime number.
What is the sum of the first 1342 primes?
6,925,919.