What is the 6433rd prime number?
The 6433rd prime number is 64231. The next prime is 64237 (a gap of 6) and the one before is 64223.
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 6433rd one is 64231.
- 2
64231 is prime because no prime up to ā64231 ā 253.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6433rd prime is close to 6433 Ć ln(6433) ā 56412, and here it is 64231.
- 4
64231 has no twin: neither 64229 nor 64233 is prime.
Primes around the 6433rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6430 | 64189 | 2 |
| 6431 | 64217 | 28 |
| 6432 | 64223 | 6 |
| 6433 | 64231 | 8 |
| 6434 | 64237 | 6 |
| 6435 | 64271 | 34 |
| 6436 | 64279 | 8 |
Questions
What is the 6433rd prime number?
64231.
Which prime number is 64231?
64231 is the 6433rd prime number.
What is the sum of the first 6433 primes?
195,213,446.