What is the 4471st prime number?
The 4471st prime number is 42751. The next prime is 42767 (a gap of 16) and the one before is 42743.
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 4471st one is 42751.
- 2
42751 is prime because no prime up to ā42751 ā 206.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4471st prime is close to 4471 Ć ln(4471) ā 37580, and here it is 42751.
- 4
42751 has no twin: neither 42749 nor 42753 is prime.
Primes around the 4471st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4468 | 42727 | 8 |
| 4469 | 42737 | 10 |
| 4470 | 42743 | 6 |
| 4471 | 42751 | 8 |
| 4472 | 42767 | 16 |
| 4473 | 42773 | 6 |
| 4474 | 42787 | 14 |
Questions
What is the 4471st prime number?
42751.
Which prime number is 42751?
42751 is the 4471st prime number.
What is the sum of the first 4471 primes?
90,276,054.