What is the 6421st prime number?
The 6421st prime number is 64081. The next prime is 64091 (a gap of 10) and the one before is 64067.
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 6421st one is 64081.
- 2
64081 is prime because no prime up to ā64081 ā 253.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6421st prime is close to 6421 Ć ln(6421) ā 56295, and here it is 64081.
- 4
64081 has no twin: neither 64079 nor 64083 is prime.
Primes around the 6421st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6418 | 64037 | 4 |
| 6419 | 64063 | 26 |
| 6420 | 64067 | 4 |
| 6421 | 64081 | 14 |
| 6422 | 64091 | 10 |
| 6423 | 64109 | 18 |
| 6424 | 64123 | 14 |
Questions
What is the 6421st prime number?
64081.
Which prime number is 64081?
64081 is the 6421st prime number.
What is the sum of the first 6421 primes?
194,443,444.