What is the 4841st prime number?
The 4841st prime number is 46853. The next prime is 46861 (a gap of 8) and the one before is 46831.
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 4841st one is 46853.
- 2
46853 is prime because no prime up to ā46853 ā 216.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4841st prime is close to 4841 Ć ln(4841) ā 41075, and here it is 46853.
- 4
46853 has no twin: neither 46851 nor 46855 is prime.
Primes around the 4841st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4838 | 46819 | 2 |
| 4839 | 46829 | 10 |
| 4840 | 46831 | 2 |
| 4841 | 46853 | 22 |
| 4842 | 46861 | 8 |
| 4843 | 46867 | 6 |
| 4844 | 46877 | 10 |
Questions
What is the 4841st prime number?
46853.
Which prime number is 46853?
46853 is the 4841st prime number.
What is the sum of the first 4841 primes?
106,862,524.