What is the 4842nd prime number?
The 4842nd prime number is 46861. The next prime is 46867 (a gap of 6) and the one before is 46853.
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 4842nd one is 46861.
- 2
46861 is prime because no prime up to ā46861 ā 216.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4842nd prime is close to 4842 Ć ln(4842) ā 41085, and here it is 46861.
- 4
46861 has no twin: neither 46859 nor 46863 is prime.
Primes around the 4842nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4839 | 46829 | 10 |
| 4840 | 46831 | 2 |
| 4841 | 46853 | 22 |
| 4842 | 46861 | 8 |
| 4843 | 46867 | 6 |
| 4844 | 46877 | 10 |
| 4845 | 46889 | 12 |
Questions
What is the 4842nd prime number?
46861.
Which prime number is 46861?
46861 is the 4842nd prime number.
What is the sum of the first 4842 primes?
106,909,385.