What is the 4478th prime number?
The 4478th prime number is 42829. The next prime is 42839 (a gap of 10) and the one before is 42821.
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 4478th one is 42829.
- 2
42829 is prime because no prime up to ā42829 ā 206.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4478th prime is close to 4478 Ć ln(4478) ā 37646, and here it is 42829.
- 4
42829 has no twin: neither 42827 nor 42831 is prime.
Primes around the 4478th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4475 | 42793 | 6 |
| 4476 | 42797 | 4 |
| 4477 | 42821 | 24 |
| 4478 | 42829 | 8 |
| 4479 | 42839 | 10 |
| 4480 | 42841 | 2 |
| 4481 | 42853 | 12 |
Questions
What is the 4478th prime number?
42829.
Which prime number is 42829?
42829 is the 4478th prime number.
What is the sum of the first 4478 primes?
90,575,621.