What is the 4433rd prime number?
The 4433rd prime number is 42403. The next prime is 42407 (a gap of 4) and the one before is 42397.
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 4433rd one is 42403.
- 2
42403 is prime because no prime up to ā42403 ā 205.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4433rd prime is close to 4433 Ć ln(4433) ā 37223, and here it is 42403.
- 4
42403 has no twin: neither 42401 nor 42405 is prime.
Primes around the 4433rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4430 | 42379 | 6 |
| 4431 | 42391 | 12 |
| 4432 | 42397 | 6 |
| 4433 | 42403 | 6 |
| 4434 | 42407 | 4 |
| 4435 | 42409 | 2 |
| 4436 | 42433 | 24 |
Questions
What is the 4433rd prime number?
42403.
Which prime number is 42403?
42403 is the 4433rd prime number.
What is the sum of the first 4433 primes?
88,658,024.