What is the 6474th prime number?
The 6474th prime number is 64763. The next prime is 64781 (a gap of 18) and the one before is 64747.
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 6474th one is 64763.
- 2
64763 is prime because no prime up to ā64763 ā 254.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6474th prime is close to 6474 Ć ln(6474) ā 56813, and here it is 64763.
- 4
64763 has no twin: neither 64761 nor 64765 is prime.
Primes around the 6474th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6471 | 64709 | 16 |
| 6472 | 64717 | 8 |
| 6473 | 64747 | 30 |
| 6474 | 64763 | 16 |
| 6475 | 64781 | 18 |
| 6476 | 64783 | 2 |
| 6477 | 64793 | 10 |
Questions
What is the 6474th prime number?
64763.
Which prime number is 64763?
64763 is the 6474th prime number.
What is the sum of the first 6474 primes?
197,858,285.