What is the 1395th prime number?
The 1395th prime number is 11593. The next prime is 11597 (a gap of 4) and the one before is 11587.
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 1395th one is 11593.
- 2
11593 is prime because no prime up to ā11593 ā 107.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1395th prime is close to 1395 Ć ln(1395) ā 10101, and here it is 11593.
- 4
11593 has no twin: neither 11591 nor 11595 is prime.
Primes around the 1395th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1392 | 11551 | 2 |
| 1393 | 11579 | 28 |
| 1394 | 11587 | 8 |
| 1395 | 11593 | 6 |
| 1396 | 11597 | 4 |
| 1397 | 11617 | 20 |
| 1398 | 11621 | 4 |
Questions
What is the 1395th prime number?
11593.
Which prime number is 11593?
11593 is the 1395th prime number.
What is the sum of the first 1395 primes?
7,526,444.