What is the 4377th prime number?
The 4377th prime number is 41879. The next prime is 41887 (a gap of 8) and the one before is 41863.
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 4377th one is 41879.
- 2
41879 is prime because no prime up to ā41879 ā 204.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4377th prime is close to 4377 Ć ln(4377) ā 36697, and here it is 41879.
- 4
41879 has no twin: neither 41877 nor 41881 is prime.
Primes around the 4377th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4374 | 41849 | 6 |
| 4375 | 41851 | 2 |
| 4376 | 41863 | 12 |
| 4377 | 41879 | 16 |
| 4378 | 41887 | 8 |
| 4379 | 41893 | 6 |
| 4380 | 41897 | 4 |
Questions
What is the 4377th prime number?
41879.
Which prime number is 41879?
41879 is the 4377th prime number.
What is the sum of the first 4377 primes?
86,298,310.