What is the 4470th prime number?
The 4470th prime number is 42743. The next prime is 42751 (a gap of 8) and the one before is 42737.
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 4470th one is 42743.
- 2
42743 is prime because no prime up to ā42743 ā 206.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4470th prime is close to 4470 Ć ln(4470) ā 37571, and here it is 42743.
- 4
42743 has no twin: neither 42741 nor 42745 is prime.
Primes around the 4470th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4467 | 42719 | 10 |
| 4468 | 42727 | 8 |
| 4469 | 42737 | 10 |
| 4470 | 42743 | 6 |
| 4471 | 42751 | 8 |
| 4472 | 42767 | 16 |
| 4473 | 42773 | 6 |
Questions
What is the 4470th prime number?
42743.
Which prime number is 42743?
42743 is the 4470th prime number.
What is the sum of the first 4470 primes?
90,233,303.