What is the 3433rd prime number?
The 3433rd prime number is 32003. The next prime is 32009 (a gap of 6) and the one before is 31991.
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 3433rd one is 32003.
- 2
32003 is prime because no prime up to ā32003 ā 178.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3433rd prime is close to 3433 Ć ln(3433) ā 27949, and here it is 32003.
- 4
32003 has no twin: neither 32001 nor 32005 is prime.
Primes around the 3433rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3430 | 31973 | 10 |
| 3431 | 31981 | 8 |
| 3432 | 31991 | 10 |
| 3433 | 32003 | 12 |
| 3434 | 32009 | 6 |
| 3435 | 32027 | 18 |
| 3436 | 32029 | 2 |
Questions
What is the 3433rd prime number?
32003.
Which prime number is 32003?
32003 is the 3433rd prime number.
What is the sum of the first 3433 primes?
51,499,588.