What is the 6422nd prime number?
The 6422nd prime number is 64091. The next prime is 64109 (a gap of 18) and the one before is 64081.
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 6422nd one is 64091.
- 2
64091 is prime because no prime up to ā64091 ā 253.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6422nd prime is close to 6422 Ć ln(6422) ā 56305, and here it is 64091.
- 4
64091 has no twin: neither 64089 nor 64093 is prime.
Primes around the 6422nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6419 | 64063 | 26 |
| 6420 | 64067 | 4 |
| 6421 | 64081 | 14 |
| 6422 | 64091 | 10 |
| 6423 | 64109 | 18 |
| 6424 | 64123 | 14 |
| 6425 | 64151 | 28 |
Questions
What is the 6422nd prime number?
64091.
Which prime number is 64091?
64091 is the 6422nd prime number.
What is the sum of the first 6422 primes?
194,507,535.