What is the 4853rd prime number?
The 4853rd prime number is 47041. The next prime is 47051 (a gap of 10) and the one before is 47017.
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 4853rd one is 47041.
- 2
47041 is prime because no prime up to ā47041 ā 216.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4853rd prime is close to 4853 Ć ln(4853) ā 41189, and here it is 47041.
- 4
47041 has no twin: neither 47039 nor 47043 is prime.
Primes around the 4853rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4850 | 46993 | 36 |
| 4851 | 46997 | 4 |
| 4852 | 47017 | 20 |
| 4853 | 47041 | 24 |
| 4854 | 47051 | 10 |
| 4855 | 47057 | 6 |
| 4856 | 47059 | 2 |
Questions
What is the 4853rd prime number?
47041.
Which prime number is 47041?
47041 is the 4853rd prime number.
What is the sum of the first 4853 primes?
107,425,776.