What is the 1432nd prime number?
The 1432nd prime number is 11941. The next prime is 11953 (a gap of 12) and the one before is 11939.
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 1432nd one is 11941.
- 2
11941 is prime because no prime up to ā11941 ā 109.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1432nd prime is close to 1432 Ć ln(1432) ā 10406, and here it is 11941.
- 4
11941 is a twin prime: 11939 and 11941 are both prime.
Primes around the 1432nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1429 | 11927 | 4 |
| 1430 | 11933 | 6 |
| 1431 | 11939 | 6 |
| 1432 | 11941 | 2 |
| 1433 | 11953 | 12 |
| 1434 | 11959 | 6 |
| 1435 | 11969 | 10 |
Questions
What is the 1432nd prime number?
11941.
Which prime number is 11941?
11941 is the 1432nd prime number.
What is the sum of the first 1432 primes?
7,962,615.