What is the 4379th prime number?
The 4379th prime number is 41893. The next prime is 41897 (a gap of 4) and the one before is 41887.
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 4379th one is 41893.
- 2
41893 is prime because no prime up to ā41893 ā 204.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4379th prime is close to 4379 Ć ln(4379) ā 36716, and here it is 41893.
- 4
41893 has no twin: neither 41891 nor 41895 is prime.
Primes around the 4379th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4376 | 41863 | 12 |
| 4377 | 41879 | 16 |
| 4378 | 41887 | 8 |
| 4379 | 41893 | 6 |
| 4380 | 41897 | 4 |
| 4381 | 41903 | 6 |
| 4382 | 41911 | 8 |
Questions
What is the 4379th prime number?
41893.
Which prime number is 41893?
41893 is the 4379th prime number.
What is the sum of the first 4379 primes?
86,382,090.