What is the 2433rd prime number?
The 2433rd prime number is 21673. The next prime is 21683 (a gap of 10) and the one before is 21661.
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 2433rd one is 21673.
- 2
21673 is prime because no prime up to ā21673 ā 147.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2433rd prime is close to 2433 Ć ln(2433) ā 18970, and here it is 21673.
- 4
21673 has no twin: neither 21671 nor 21675 is prime.
Primes around the 2433rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2430 | 21647 | 30 |
| 2431 | 21649 | 2 |
| 2432 | 21661 | 12 |
| 2433 | 21673 | 12 |
| 2434 | 21683 | 10 |
| 2435 | 21701 | 18 |
| 2436 | 21713 | 12 |
Questions
What is the 2433rd prime number?
21673.
Which prime number is 21673?
21673 is the 2433rd prime number.
What is the sum of the first 2433 primes?
24,736,646.