What is the 6472nd prime number?
The 6472nd prime number is 64717. The next prime is 64747 (a gap of 30) and the one before is 64709.
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 6472nd one is 64717.
- 2
64717 is prime because no prime up to ā64717 ā 254.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6472nd prime is close to 6472 Ć ln(6472) ā 56793, and here it is 64717.
- 4
64717 has no twin: neither 64715 nor 64719 is prime.
Primes around the 6472nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6469 | 64679 | 12 |
| 6470 | 64693 | 14 |
| 6471 | 64709 | 16 |
| 6472 | 64717 | 8 |
| 6473 | 64747 | 30 |
| 6474 | 64763 | 16 |
| 6475 | 64781 | 18 |
Questions
What is the 6472nd prime number?
64717.
Which prime number is 64717?
64717 is the 6472nd prime number.
What is the sum of the first 6472 primes?
197,728,775.