What is the 1398th prime number?
The 1398th prime number is 11621. The next prime is 11633 (a gap of 12) and the one before is 11617.
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 1398th one is 11621.
- 2
11621 is prime because no prime up to ā11621 ā 107.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1398th prime is close to 1398 Ć ln(1398) ā 10125, and here it is 11621.
- 4
11621 has no twin: neither 11619 nor 11623 is prime.
Primes around the 1398th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1395 | 11593 | 6 |
| 1396 | 11597 | 4 |
| 1397 | 11617 | 20 |
| 1398 | 11621 | 4 |
| 1399 | 11633 | 12 |
| 1400 | 11657 | 24 |
| 1401 | 11677 | 20 |
Questions
What is the 1398th prime number?
11621.
Which prime number is 11621?
11621 is the 1398th prime number.
What is the sum of the first 1398 primes?
7,561,279.