What is the 6423rd prime number?
The 6423rd prime number is 64109. The next prime is 64123 (a gap of 14) and the one before is 64091.
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 6423rd one is 64109.
- 2
64109 is prime because no prime up to ā64109 ā 253.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6423rd prime is close to 6423 Ć ln(6423) ā 56315, and here it is 64109.
- 4
64109 has no twin: neither 64107 nor 64111 is prime.
Primes around the 6423rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6420 | 64067 | 4 |
| 6421 | 64081 | 14 |
| 6422 | 64091 | 10 |
| 6423 | 64109 | 18 |
| 6424 | 64123 | 14 |
| 6425 | 64151 | 28 |
| 6426 | 64153 | 2 |
Questions
What is the 6423rd prime number?
64109.
Which prime number is 64109?
64109 is the 6423rd prime number.
What is the sum of the first 6423 primes?
194,571,644.