What is the 4931st prime number?
The 4931st prime number is 47837. The next prime is 47843 (a gap of 6) and the one before is 47819.
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 4931st one is 47837.
- 2
47837 is prime because no prime up to ā47837 ā 218.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4931st prime is close to 4931 Ć ln(4931) ā 41930, and here it is 47837.
- 4
47837 has no twin: neither 47835 nor 47839 is prime.
Primes around the 4931st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4928 | 47807 | 10 |
| 4929 | 47809 | 2 |
| 4930 | 47819 | 10 |
| 4931 | 47837 | 18 |
| 4932 | 47843 | 6 |
| 4933 | 47857 | 14 |
| 4934 | 47869 | 12 |
Questions
What is the 4931st prime number?
47837.
Which prime number is 47837?
47837 is the 4931st prime number.
What is the sum of the first 4931 primes?
111,126,802.