What is the 1427th prime number?
The 1427th prime number is 11909. The next prime is 11923 (a gap of 14) and the one before is 11903.
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 1427th one is 11909.
- 2
11909 is prime because no prime up to ā11909 ā 109.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1427th prime is close to 1427 Ć ln(1427) ā 10365, and here it is 11909.
- 4
11909 has no twin: neither 11907 nor 11911 is prime.
Primes around the 1427th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1424 | 11887 | 20 |
| 1425 | 11897 | 10 |
| 1426 | 11903 | 6 |
| 1427 | 11909 | 6 |
| 1428 | 11923 | 14 |
| 1429 | 11927 | 4 |
| 1430 | 11933 | 6 |
Questions
What is the 1427th prime number?
11909.
Which prime number is 11909?
11909 is the 1427th prime number.
What is the sum of the first 1427 primes?
7,902,952.