What is the 4843rd prime number?
The 4843rd prime number is 46867. The next prime is 46877 (a gap of 10) and the one before is 46861.
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 4843rd one is 46867.
- 2
46867 is prime because no prime up to ā46867 ā 216.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4843rd prime is close to 4843 Ć ln(4843) ā 41094, and here it is 46867.
- 4
46867 has no twin: neither 46865 nor 46869 is prime.
Primes around the 4843rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4840 | 46831 | 2 |
| 4841 | 46853 | 22 |
| 4842 | 46861 | 8 |
| 4843 | 46867 | 6 |
| 4844 | 46877 | 10 |
| 4845 | 46889 | 12 |
| 4846 | 46901 | 12 |
Questions
What is the 4843rd prime number?
46867.
Which prime number is 46867?
46867 is the 4843rd prime number.
What is the sum of the first 4843 primes?
106,956,252.