What is the 4385th prime number?
The 4385th prime number is 41947. The next prime is 41953 (a gap of 6) and the one before is 41941.
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 4385th one is 41947.
- 2
41947 is prime because no prime up to ā41947 ā 204.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4385th prime is close to 4385 Ć ln(4385) ā 36772, and here it is 41947.
- 4
41947 has no twin: neither 41945 nor 41949 is prime.
Primes around the 4385th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4382 | 41911 | 8 |
| 4383 | 41927 | 16 |
| 4384 | 41941 | 14 |
| 4385 | 41947 | 6 |
| 4386 | 41953 | 6 |
| 4387 | 41957 | 4 |
| 4388 | 41959 | 2 |
Questions
What is the 4385th prime number?
41947.
Which prime number is 41947?
41947 is the 4385th prime number.
What is the sum of the first 4385 primes?
86,633,616.