What is the 4373rd prime number?
The 4373rd prime number is 41843. The next prime is 41849 (a gap of 6) and the one before is 41813.
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 4373rd one is 41843.
- 2
41843 is prime because no prime up to ā41843 ā 204.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4373rd prime is close to 4373 Ć ln(4373) ā 36660, and here it is 41843.
- 4
41843 has no twin: neither 41841 nor 41845 is prime.
Primes around the 4373rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4370 | 41801 | 24 |
| 4371 | 41809 | 8 |
| 4372 | 41813 | 4 |
| 4373 | 41843 | 30 |
| 4374 | 41849 | 6 |
| 4375 | 41851 | 2 |
| 4376 | 41863 | 12 |
Questions
What is the 4373rd prime number?
41843.
Which prime number is 41843?
41843 is the 4373rd prime number.
What is the sum of the first 4373 primes?
86,130,868.