What is the 4475th prime number?
The 4475th prime number is 42793. The next prime is 42797 (a gap of 4) and the one before is 42787.
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 4475th one is 42793.
- 2
42793 is prime because no prime up to ā42793 ā 206.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4475th prime is close to 4475 Ć ln(4475) ā 37618, and here it is 42793.
- 4
42793 has no twin: neither 42791 nor 42795 is prime.
Primes around the 4475th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4472 | 42767 | 16 |
| 4473 | 42773 | 6 |
| 4474 | 42787 | 14 |
| 4475 | 42793 | 6 |
| 4476 | 42797 | 4 |
| 4477 | 42821 | 24 |
| 4478 | 42829 | 8 |
Questions
What is the 4475th prime number?
42793.
Which prime number is 42793?
42793 is the 4475th prime number.
What is the sum of the first 4475 primes?
90,447,174.