What is the 6402nd prime number?
The 6402nd prime number is 63839. The next prime is 63841 (a gap of 2) and the one before is 63823.
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 6402nd one is 63839.
- 2
63839 is prime because no prime up to ā63839 ā 252.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6402nd prime is close to 6402 Ć ln(6402) ā 56109, and here it is 63839.
- 4
63839 is a twin prime: 63839 and 63841 are both prime.
Primes around the 6402nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6399 | 63803 | 4 |
| 6400 | 63809 | 6 |
| 6401 | 63823 | 14 |
| 6402 | 63839 | 16 |
| 6403 | 63841 | 2 |
| 6404 | 63853 | 12 |
| 6405 | 63857 | 4 |
Questions
What is the 6402nd prime number?
63839.
Which prime number is 63839?
63839 is the 6402nd prime number.
What is the sum of the first 6402 primes?
193,228,137.