What is the 4376th prime number?
The 4376th prime number is 41863. The next prime is 41879 (a gap of 16) and the one before is 41851.
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 4376th one is 41863.
- 2
41863 is prime because no prime up to ā41863 ā 204.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4376th prime is close to 4376 Ć ln(4376) ā 36688, and here it is 41863.
- 4
41863 has no twin: neither 41861 nor 41865 is prime.
Primes around the 4376th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4373 | 41843 | 30 |
| 4374 | 41849 | 6 |
| 4375 | 41851 | 2 |
| 4376 | 41863 | 12 |
| 4377 | 41879 | 16 |
| 4378 | 41887 | 8 |
| 4379 | 41893 | 6 |
Questions
What is the 4376th prime number?
41863.
Which prime number is 41863?
41863 is the 4376th prime number.
What is the sum of the first 4376 primes?
86,256,431.