What is the 5023rd prime number?
The 5023rd prime number is 48847. The next prime is 48857 (a gap of 10) and the one before is 48823.
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 5023rd one is 48847.
- 2
48847 is prime because no prime up to ā48847 ā 221.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5023rd prime is close to 5023 Ć ln(5023) ā 42805, and here it is 48847.
- 4
48847 has no twin: neither 48845 nor 48849 is prime.
Primes around the 5023rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5020 | 48817 | 8 |
| 5021 | 48821 | 4 |
| 5022 | 48823 | 2 |
| 5023 | 48847 | 24 |
| 5024 | 48857 | 10 |
| 5025 | 48859 | 2 |
| 5026 | 48869 | 10 |
Questions
What is the 5023rd prime number?
48847.
Which prime number is 48847?
48847 is the 5023rd prime number.
What is the sum of the first 5023 primes?
115,576,250.