What is the 1397th prime number?
The 1397th prime number is 11617. The next prime is 11621 (a gap of 4) and the one before is 11597.
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 1397th one is 11617.
- 2
11617 is prime because no prime up to ā11617 ā 107.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1397th prime is close to 1397 Ć ln(1397) ā 10117, and here it is 11617.
- 4
11617 has no twin: neither 11615 nor 11619 is prime.
Primes around the 1397th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1394 | 11587 | 8 |
| 1395 | 11593 | 6 |
| 1396 | 11597 | 4 |
| 1397 | 11617 | 20 |
| 1398 | 11621 | 4 |
| 1399 | 11633 | 12 |
| 1400 | 11657 | 24 |
Questions
What is the 1397th prime number?
11617.
Which prime number is 11617?
11617 is the 1397th prime number.
What is the sum of the first 1397 primes?
7,549,658.