What is the 1345th prime number?
The 1345th prime number is 11093. The next prime is 11113 (a gap of 20) and the one before is 11087.
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 1345th one is 11093.
- 2
11093 is prime because no prime up to ā11093 ā 105.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1345th prime is close to 1345 Ć ln(1345) ā 9690, and here it is 11093.
- 4
11093 has no twin: neither 11091 nor 11095 is prime.
Primes around the 1345th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1342 | 11071 | 2 |
| 1343 | 11083 | 12 |
| 1344 | 11087 | 4 |
| 1345 | 11093 | 6 |
| 1346 | 11113 | 20 |
| 1347 | 11117 | 4 |
| 1348 | 11119 | 2 |
Questions
What is the 1345th prime number?
11093.
Which prime number is 11093?
11093 is the 1345th prime number.
What is the sum of the first 1345 primes?
6,959,182.