What is the 6416th prime number?
The 6416th prime number is 64019. The next prime is 64033 (a gap of 14) and the one before is 64013.
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 6416th one is 64019.
- 2
64019 is prime because no prime up to ā64019 ā 253.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6416th prime is close to 6416 Ć ln(6416) ā 56246, and here it is 64019.
- 4
64019 has no twin: neither 64017 nor 64021 is prime.
Primes around the 6416th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6413 | 63997 | 20 |
| 6414 | 64007 | 10 |
| 6415 | 64013 | 6 |
| 6416 | 64019 | 6 |
| 6417 | 64033 | 14 |
| 6418 | 64037 | 4 |
| 6419 | 64063 | 26 |
Questions
What is the 6416th prime number?
64019.
Which prime number is 64019?
64019 is the 6416th prime number.
What is the sum of the first 6416 primes?
194,123,163.