What is the 6471st prime number?
The 6471st prime number is 64709. The next prime is 64717 (a gap of 8) and the one before is 64693.
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 6471st one is 64709.
- 2
64709 is prime because no prime up to ā64709 ā 254.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6471st prime is close to 6471 Ć ln(6471) ā 56784, and here it is 64709.
- 4
64709 has no twin: neither 64707 nor 64711 is prime.
Primes around the 6471st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6468 | 64667 | 4 |
| 6469 | 64679 | 12 |
| 6470 | 64693 | 14 |
| 6471 | 64709 | 16 |
| 6472 | 64717 | 8 |
| 6473 | 64747 | 30 |
| 6474 | 64763 | 16 |
Questions
What is the 6471st prime number?
64709.
Which prime number is 64709?
64709 is the 6471st prime number.
What is the sum of the first 6471 primes?
197,664,058.