What is the 4378th prime number?
The 4378th prime number is 41887. The next prime is 41893 (a gap of 6) and the one before is 41879.
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 4378th one is 41887.
- 2
41887 is prime because no prime up to ā41887 ā 204.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4378th prime is close to 4378 Ć ln(4378) ā 36707, and here it is 41887.
- 4
41887 has no twin: neither 41885 nor 41889 is prime.
Primes around the 4378th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4375 | 41851 | 2 |
| 4376 | 41863 | 12 |
| 4377 | 41879 | 16 |
| 4378 | 41887 | 8 |
| 4379 | 41893 | 6 |
| 4380 | 41897 | 4 |
| 4381 | 41903 | 6 |
Questions
What is the 4378th prime number?
41887.
Which prime number is 41887?
41887 is the 4378th prime number.
What is the sum of the first 4378 primes?
86,340,197.