What is the 1426th prime number?
The 1426th prime number is 11903. The next prime is 11909 (a gap of 6) and the one before is 11897.
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 1426th one is 11903.
- 2
11903 is prime because no prime up to ā11903 ā 109.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1426th prime is close to 1426 Ć ln(1426) ā 10357, and here it is 11903.
- 4
11903 has no twin: neither 11901 nor 11905 is prime.
Primes around the 1426th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1423 | 11867 | 4 |
| 1424 | 11887 | 20 |
| 1425 | 11897 | 10 |
| 1426 | 11903 | 6 |
| 1427 | 11909 | 6 |
| 1428 | 11923 | 14 |
| 1429 | 11927 | 4 |
Questions
What is the 1426th prime number?
11903.
Which prime number is 11903?
11903 is the 1426th prime number.
What is the sum of the first 1426 primes?
7,891,043.