What is the 6477th prime number?
The 6477th prime number is 64793. The next prime is 64811 (a gap of 18) and the one before is 64783.
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 6477th one is 64793.
- 2
64793 is prime because no prime up to ā64793 ā 254.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6477th prime is close to 6477 Ć ln(6477) ā 56842, and here it is 64793.
- 4
64793 has no twin: neither 64791 nor 64795 is prime.
Primes around the 6477th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6474 | 64763 | 16 |
| 6475 | 64781 | 18 |
| 6476 | 64783 | 2 |
| 6477 | 64793 | 10 |
| 6478 | 64811 | 18 |
| 6479 | 64817 | 6 |
| 6480 | 64849 | 32 |
Questions
What is the 6477th prime number?
64793.
Which prime number is 64793?
64793 is the 6477th prime number.
What is the sum of the first 6477 primes?
198,052,642.