What is the 4477th prime number?
The 4477th prime number is 42821. The next prime is 42829 (a gap of 8) and the one before is 42797.
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 4477th one is 42821.
- 2
42821 is prime because no prime up to ā42821 ā 206.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4477th prime is close to 4477 Ć ln(4477) ā 37637, and here it is 42821.
- 4
42821 has no twin: neither 42819 nor 42823 is prime.
Primes around the 4477th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4474 | 42787 | 14 |
| 4475 | 42793 | 6 |
| 4476 | 42797 | 4 |
| 4477 | 42821 | 24 |
| 4478 | 42829 | 8 |
| 4479 | 42839 | 10 |
| 4480 | 42841 | 2 |
Questions
What is the 4477th prime number?
42821.
Which prime number is 42821?
42821 is the 4477th prime number.
What is the sum of the first 4477 primes?
90,532,792.