What is the 6414th prime number?
The 6414th prime number is 64007. The next prime is 64013 (a gap of 6) and the one before is 63997.
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 6414th one is 64007.
- 2
64007 is prime because no prime up to ā64007 ā 253.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6414th prime is close to 6414 Ć ln(6414) ā 56227, and here it is 64007.
- 4
64007 has no twin: neither 64005 nor 64009 is prime.
Primes around the 6414th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6411 | 63949 | 20 |
| 6412 | 63977 | 28 |
| 6413 | 63997 | 20 |
| 6414 | 64007 | 10 |
| 6415 | 64013 | 6 |
| 6416 | 64019 | 6 |
| 6417 | 64033 | 14 |
Questions
What is the 6414th prime number?
64007.
Which prime number is 64007?
64007 is the 6414th prime number.
What is the sum of the first 6414 primes?
193,995,131.