What is the 1346th prime number?
The 1346th prime number is 11113. The next prime is 11117 (a gap of 4) and the one before is 11093.
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 1346th one is 11113.
- 2
11113 is prime because no prime up to ā11113 ā 105.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1346th prime is close to 1346 Ć ln(1346) ā 9698, and here it is 11113.
- 4
11113 has no twin: neither 11111 nor 11115 is prime.
Primes around the 1346th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1343 | 11083 | 12 |
| 1344 | 11087 | 4 |
| 1345 | 11093 | 6 |
| 1346 | 11113 | 20 |
| 1347 | 11117 | 4 |
| 1348 | 11119 | 2 |
| 1349 | 11131 | 12 |
Questions
What is the 1346th prime number?
11113.
Which prime number is 11113?
11113 is the 1346th prime number.
What is the sum of the first 1346 primes?
6,970,295.