What is the 4476th prime number?
The 4476th prime number is 42797. The next prime is 42821 (a gap of 24) and the one before is 42793.
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 4476th one is 42797.
- 2
42797 is prime because no prime up to ā42797 ā 206.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4476th prime is close to 4476 Ć ln(4476) ā 37627, and here it is 42797.
- 4
42797 has no twin: neither 42795 nor 42799 is prime.
Primes around the 4476th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4473 | 42773 | 6 |
| 4474 | 42787 | 14 |
| 4475 | 42793 | 6 |
| 4476 | 42797 | 4 |
| 4477 | 42821 | 24 |
| 4478 | 42829 | 8 |
| 4479 | 42839 | 10 |
Questions
What is the 4476th prime number?
42797.
Which prime number is 42797?
42797 is the 4476th prime number.
What is the sum of the first 4476 primes?
90,489,971.