What is the 4383rd prime number?
The 4383rd prime number is 41927. The next prime is 41941 (a gap of 14) and the one before is 41911.
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 4383rd one is 41927.
- 2
41927 is prime because no prime up to ā41927 ā 204.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4383rd prime is close to 4383 Ć ln(4383) ā 36754, and here it is 41927.
- 4
41927 has no twin: neither 41925 nor 41929 is prime.
Primes around the 4383rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4380 | 41897 | 4 |
| 4381 | 41903 | 6 |
| 4382 | 41911 | 8 |
| 4383 | 41927 | 16 |
| 4384 | 41941 | 14 |
| 4385 | 41947 | 6 |
| 4386 | 41953 | 6 |
Questions
What is the 4383rd prime number?
41927.
Which prime number is 41927?
41927 is the 4383rd prime number.
What is the sum of the first 4383 primes?
86,549,728.