What is the 4374th prime number?
The 4374th prime number is 41849. The next prime is 41851 (a gap of 2) and the one before is 41843.
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 4374th one is 41849.
- 2
41849 is prime because no prime up to ā41849 ā 204.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4374th prime is close to 4374 Ć ln(4374) ā 36669, and here it is 41849.
- 4
41849 is a twin prime: 41849 and 41851 are both prime.
Primes around the 4374th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4371 | 41809 | 8 |
| 4372 | 41813 | 4 |
| 4373 | 41843 | 30 |
| 4374 | 41849 | 6 |
| 4375 | 41851 | 2 |
| 4376 | 41863 | 12 |
| 4377 | 41879 | 16 |
Questions
What is the 4374th prime number?
41849.
Which prime number is 41849?
41849 is the 4374th prime number.
What is the sum of the first 4374 primes?
86,172,717.