What is the 4844th prime number?
The 4844th prime number is 46877. The next prime is 46889 (a gap of 12) and the one before is 46867.
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 4844th one is 46877.
- 2
46877 is prime because no prime up to ā46877 ā 216.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4844th prime is close to 4844 Ć ln(4844) ā 41104, and here it is 46877.
- 4
46877 has no twin: neither 46875 nor 46879 is prime.
Primes around the 4844th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4841 | 46853 | 22 |
| 4842 | 46861 | 8 |
| 4843 | 46867 | 6 |
| 4844 | 46877 | 10 |
| 4845 | 46889 | 12 |
| 4846 | 46901 | 12 |
| 4847 | 46919 | 18 |
Questions
What is the 4844th prime number?
46877.
Which prime number is 46877?
46877 is the 4844th prime number.
What is the sum of the first 4844 primes?
107,003,129.