What is the 5433rd prime number?
The 5433rd prime number is 53267. The next prime is 53269 (a gap of 2) and the one before is 53239.
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 5433rd one is 53267.
- 2
53267 is prime because no prime up to ā53267 ā 230.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5433rd prime is close to 5433 Ć ln(5433) ā 46725, and here it is 53267.
- 4
53267 is a twin prime: 53267 and 53269 are both prime.
Primes around the 5433rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5430 | 53231 | 30 |
| 5431 | 53233 | 2 |
| 5432 | 53239 | 6 |
| 5433 | 53267 | 28 |
| 5434 | 53269 | 2 |
| 5435 | 53279 | 10 |
| 5436 | 53281 | 2 |
Questions
What is the 5433rd prime number?
53267.
Which prime number is 53267?
53267 is the 5433rd prime number.
What is the sum of the first 5433 primes?
136,505,090.