What is the 1396th prime number?
The 1396th prime number is 11597. The next prime is 11617 (a gap of 20) and the one before is 11593.
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 1396th one is 11597.
- 2
11597 is prime because no prime up to ā11597 ā 107.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1396th prime is close to 1396 Ć ln(1396) ā 10109, and here it is 11597.
- 4
11597 has no twin: neither 11595 nor 11599 is prime.
Primes around the 1396th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1393 | 11579 | 28 |
| 1394 | 11587 | 8 |
| 1395 | 11593 | 6 |
| 1396 | 11597 | 4 |
| 1397 | 11617 | 20 |
| 1398 | 11621 | 4 |
| 1399 | 11633 | 12 |
Questions
What is the 1396th prime number?
11597.
Which prime number is 11597?
11597 is the 1396th prime number.
What is the sum of the first 1396 primes?
7,538,041.