What is the 5024th prime number?
The 5024th prime number is 48857. The next prime is 48859 (a gap of 2) and the one before is 48847.
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 5024th one is 48857.
- 2
48857 is prime because no prime up to ā48857 ā 221.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5024th prime is close to 5024 Ć ln(5024) ā 42814, and here it is 48857.
- 4
48857 is a twin prime: 48857 and 48859 are both prime.
Primes around the 5024th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5021 | 48821 | 4 |
| 5022 | 48823 | 2 |
| 5023 | 48847 | 24 |
| 5024 | 48857 | 10 |
| 5025 | 48859 | 2 |
| 5026 | 48869 | 10 |
| 5027 | 48871 | 2 |
Questions
What is the 5024th prime number?
48857.
Which prime number is 48857?
48857 is the 5024th prime number.
What is the sum of the first 5024 primes?
115,625,107.