What is the 6473rd prime number?
The 6473rd prime number is 64747. The next prime is 64763 (a gap of 16) and the one before is 64717.
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 6473rd one is 64747.
- 2
64747 is prime because no prime up to ā64747 ā 254.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6473rd prime is close to 6473 Ć ln(6473) ā 56803, and here it is 64747.
- 4
64747 has no twin: neither 64745 nor 64749 is prime.
Primes around the 6473rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6470 | 64693 | 14 |
| 6471 | 64709 | 16 |
| 6472 | 64717 | 8 |
| 6473 | 64747 | 30 |
| 6474 | 64763 | 16 |
| 6475 | 64781 | 18 |
| 6476 | 64783 | 2 |
Questions
What is the 6473rd prime number?
64747.
Which prime number is 64747?
64747 is the 6473rd prime number.
What is the sum of the first 6473 primes?
197,793,522.