What is the 6435th prime number?
The 6435th prime number is 64271. The next prime is 64279 (a gap of 8) and the one before is 64237.
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 6435th one is 64271.
- 2
64271 is prime because no prime up to ā64271 ā 253.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6435th prime is close to 6435 Ć ln(6435) ā 56432, and here it is 64271.
- 4
64271 has no twin: neither 64269 nor 64273 is prime.
Primes around the 6435th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6432 | 64223 | 6 |
| 6433 | 64231 | 8 |
| 6434 | 64237 | 6 |
| 6435 | 64271 | 34 |
| 6436 | 64279 | 8 |
| 6437 | 64283 | 4 |
| 6438 | 64301 | 18 |
Questions
What is the 6435th prime number?
64271.
Which prime number is 64271?
64271 is the 6435th prime number.
What is the sum of the first 6435 primes?
195,341,954.