What is the 6437th prime number?
The 6437th prime number is 64283. The next prime is 64301 (a gap of 18) and the one before is 64279.
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 6437th one is 64283.
- 2
64283 is prime because no prime up to ā64283 ā 253.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6437th prime is close to 6437 Ć ln(6437) ā 56451, and here it is 64283.
- 4
64283 has no twin: neither 64281 nor 64285 is prime.
Primes around the 6437th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6434 | 64237 | 6 |
| 6435 | 64271 | 34 |
| 6436 | 64279 | 8 |
| 6437 | 64283 | 4 |
| 6438 | 64301 | 18 |
| 6439 | 64303 | 2 |
| 6440 | 64319 | 16 |
Questions
What is the 6437th prime number?
64283.
Which prime number is 64283?
64283 is the 6437th prime number.
What is the sum of the first 6437 primes?
195,470,516.