What is the 1431st prime number?
The 1431st prime number is 11939. The next prime is 11941 (a gap of 2) and the one before is 11933.
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 1431st one is 11939.
- 2
11939 is prime because no prime up to ā11939 ā 109.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1431st prime is close to 1431 Ć ln(1431) ā 10398, and here it is 11939.
- 4
11939 is a twin prime: 11939 and 11941 are both prime.
Primes around the 1431st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1428 | 11923 | 14 |
| 1429 | 11927 | 4 |
| 1430 | 11933 | 6 |
| 1431 | 11939 | 6 |
| 1432 | 11941 | 2 |
| 1433 | 11953 | 12 |
| 1434 | 11959 | 6 |
Questions
What is the 1431st prime number?
11939.
Which prime number is 11939?
11939 is the 1431st prime number.
What is the sum of the first 1431 primes?
7,950,674.