What is the 4375th prime number?
The 4375th prime number is 41851. The next prime is 41863 (a gap of 12) and the one before is 41849.
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 4375th one is 41851.
- 2
41851 is prime because no prime up to ā41851 ā 204.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4375th prime is close to 4375 Ć ln(4375) ā 36679, and here it is 41851.
- 4
41851 is a twin prime: 41849 and 41851 are both prime.
Primes around the 4375th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4372 | 41813 | 4 |
| 4373 | 41843 | 30 |
| 4374 | 41849 | 6 |
| 4375 | 41851 | 2 |
| 4376 | 41863 | 12 |
| 4377 | 41879 | 16 |
| 4378 | 41887 | 8 |
Questions
What is the 4375th prime number?
41851.
Which prime number is 41851?
41851 is the 4375th prime number.
What is the sum of the first 4375 primes?
86,214,568.