What is the 4387th prime number?
The 4387th prime number is 41957. The next prime is 41959 (a gap of 2) and the one before is 41953.
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 4387th one is 41957.
- 2
41957 is prime because no prime up to ā41957 ā 204.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4387th prime is close to 4387 Ć ln(4387) ā 36791, and here it is 41957.
- 4
41957 is a twin prime: 41957 and 41959 are both prime.
Primes around the 4387th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4384 | 41941 | 14 |
| 4385 | 41947 | 6 |
| 4386 | 41953 | 6 |
| 4387 | 41957 | 4 |
| 4388 | 41959 | 2 |
| 4389 | 41969 | 10 |
| 4390 | 41981 | 12 |
Questions
What is the 4387th prime number?
41957.
Which prime number is 41957?
41957 is the 4387th prime number.
What is the sum of the first 4387 primes?
86,717,526.