What is the 6420th prime number?
The 6420th prime number is 64067. The next prime is 64081 (a gap of 14) and the one before is 64063.
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 6420th one is 64067.
- 2
64067 is prime because no prime up to ā64067 ā 253.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6420th prime is close to 6420 Ć ln(6420) ā 56285, and here it is 64067.
- 4
64067 has no twin: neither 64065 nor 64069 is prime.
Primes around the 6420th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6417 | 64033 | 14 |
| 6418 | 64037 | 4 |
| 6419 | 64063 | 26 |
| 6420 | 64067 | 4 |
| 6421 | 64081 | 14 |
| 6422 | 64091 | 10 |
| 6423 | 64109 | 18 |
Questions
What is the 6420th prime number?
64067.
Which prime number is 64067?
64067 is the 6420th prime number.
What is the sum of the first 6420 primes?
194,379,363.