What is the 6432nd prime number?
The 6432nd prime number is 64223. The next prime is 64231 (a gap of 8) and the one before is 64217.
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 6432nd one is 64223.
- 2
64223 is prime because no prime up to ā64223 ā 253.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6432nd prime is close to 6432 Ć ln(6432) ā 56402, and here it is 64223.
- 4
64223 has no twin: neither 64221 nor 64225 is prime.
Primes around the 6432nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6429 | 64187 | 16 |
| 6430 | 64189 | 2 |
| 6431 | 64217 | 28 |
| 6432 | 64223 | 6 |
| 6433 | 64231 | 8 |
| 6434 | 64237 | 6 |
| 6435 | 64271 | 34 |
Questions
What is the 6432nd prime number?
64223.
Which prime number is 64223?
64223 is the 6432nd prime number.
What is the sum of the first 6432 primes?
195,149,215.