What is the 6418th prime number?
The 6418th prime number is 64037. The next prime is 64063 (a gap of 26) and the one before is 64033.
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 6418th one is 64037.
- 2
64037 is prime because no prime up to ā64037 ā 253.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6418th prime is close to 6418 Ć ln(6418) ā 56266, and here it is 64037.
- 4
64037 has no twin: neither 64035 nor 64039 is prime.
Primes around the 6418th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6415 | 64013 | 6 |
| 6416 | 64019 | 6 |
| 6417 | 64033 | 14 |
| 6418 | 64037 | 4 |
| 6419 | 64063 | 26 |
| 6420 | 64067 | 4 |
| 6421 | 64081 | 14 |
Questions
What is the 6418th prime number?
64037.
Which prime number is 64037?
64037 is the 6418th prime number.
What is the sum of the first 6418 primes?
194,251,233.