What is the 1433rd prime number?
The 1433rd prime number is 11953. The next prime is 11959 (a gap of 6) and the one before is 11941.
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 1433rd one is 11953.
- 2
11953 is prime because no prime up to ā11953 ā 109.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1433rd prime is close to 1433 Ć ln(1433) ā 10414, and here it is 11953.
- 4
11953 has no twin: neither 11951 nor 11955 is prime.
Primes around the 1433rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1430 | 11933 | 6 |
| 1431 | 11939 | 6 |
| 1432 | 11941 | 2 |
| 1433 | 11953 | 12 |
| 1434 | 11959 | 6 |
| 1435 | 11969 | 10 |
| 1436 | 11971 | 2 |
Questions
What is the 1433rd prime number?
11953.
Which prime number is 11953?
11953 is the 1433rd prime number.
What is the sum of the first 1433 primes?
7,974,568.