What is the 6434th prime number?
The 6434th prime number is 64237. The next prime is 64271 (a gap of 34) and the one before is 64231.
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 6434th one is 64237.
- 2
64237 is prime because no prime up to ā64237 ā 253.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6434th prime is close to 6434 Ć ln(6434) ā 56422, and here it is 64237.
- 4
64237 has no twin: neither 64235 nor 64239 is prime.
Primes around the 6434th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6431 | 64217 | 28 |
| 6432 | 64223 | 6 |
| 6433 | 64231 | 8 |
| 6434 | 64237 | 6 |
| 6435 | 64271 | 34 |
| 6436 | 64279 | 8 |
| 6437 | 64283 | 4 |
Questions
What is the 6434th prime number?
64237.
Which prime number is 64237?
64237 is the 6434th prime number.
What is the sum of the first 6434 primes?
195,277,683.