What is the 6404th prime number?
The 6404th prime number is 63853. The next prime is 63857 (a gap of 4) and the one before is 63841.
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 6404th one is 63853.
- 2
63853 is prime because no prime up to ā63853 ā 252.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6404th prime is close to 6404 Ć ln(6404) ā 56129, and here it is 63853.
- 4
63853 has no twin: neither 63851 nor 63855 is prime.
Primes around the 6404th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6401 | 63823 | 14 |
| 6402 | 63839 | 16 |
| 6403 | 63841 | 2 |
| 6404 | 63853 | 12 |
| 6405 | 63857 | 4 |
| 6406 | 63863 | 6 |
| 6407 | 63901 | 38 |
Questions
What is the 6404th prime number?
63853.
Which prime number is 63853?
63853 is the 6404th prime number.
What is the sum of the first 6404 primes?
193,355,831.