What is the 1428th prime number?
The 1428th prime number is 11923. The next prime is 11927 (a gap of 4) and the one before is 11909.
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 1428th one is 11923.
- 2
11923 is prime because no prime up to ā11923 ā 109.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1428th prime is close to 1428 Ć ln(1428) ā 10373, and here it is 11923.
- 4
11923 has no twin: neither 11921 nor 11925 is prime.
Primes around the 1428th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1425 | 11897 | 10 |
| 1426 | 11903 | 6 |
| 1427 | 11909 | 6 |
| 1428 | 11923 | 14 |
| 1429 | 11927 | 4 |
| 1430 | 11933 | 6 |
| 1431 | 11939 | 6 |
Questions
What is the 1428th prime number?
11923.
Which prime number is 11923?
11923 is the 1428th prime number.
What is the sum of the first 1428 primes?
7,914,875.