What is the 1425th prime number?
The 1425th prime number is 11897. The next prime is 11903 (a gap of 6) and the one before is 11887.
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 1425th one is 11897.
- 2
11897 is prime because no prime up to ā11897 ā 109.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1425th prime is close to 1425 Ć ln(1425) ā 10348, and here it is 11897.
- 4
11897 has no twin: neither 11895 nor 11899 is prime.
Primes around the 1425th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1422 | 11863 | 24 |
| 1423 | 11867 | 4 |
| 1424 | 11887 | 20 |
| 1425 | 11897 | 10 |
| 1426 | 11903 | 6 |
| 1427 | 11909 | 6 |
| 1428 | 11923 | 14 |
Questions
What is the 1425th prime number?
11897.
Which prime number is 11897?
11897 is the 1425th prime number.
What is the sum of the first 1425 primes?
7,879,140.