What is the 6424th prime number?
The 6424th prime number is 64123. The next prime is 64151 (a gap of 28) and the one before is 64109.
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 6424th one is 64123.
- 2
64123 is prime because no prime up to ā64123 ā 253.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6424th prime is close to 6424 Ć ln(6424) ā 56324, and here it is 64123.
- 4
64123 has no twin: neither 64121 nor 64125 is prime.
Primes around the 6424th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6421 | 64081 | 14 |
| 6422 | 64091 | 10 |
| 6423 | 64109 | 18 |
| 6424 | 64123 | 14 |
| 6425 | 64151 | 28 |
| 6426 | 64153 | 2 |
| 6427 | 64157 | 4 |
Questions
What is the 6424th prime number?
64123.
Which prime number is 64123?
64123 is the 6424th prime number.
What is the sum of the first 6424 primes?
194,635,767.