What is the 5028th prime number?
The 5028th prime number is 48883. The next prime is 48889 (a gap of 6) and the one before is 48871.
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 5028th one is 48883.
- 2
48883 is prime because no prime up to ā48883 ā 221.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5028th prime is close to 5028 Ć ln(5028) ā 42853, and here it is 48883.
- 4
48883 has no twin: neither 48881 nor 48885 is prime.
Primes around the 5028th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5025 | 48859 | 2 |
| 5026 | 48869 | 10 |
| 5027 | 48871 | 2 |
| 5028 | 48883 | 12 |
| 5029 | 48889 | 6 |
| 5030 | 48907 | 18 |
| 5031 | 48947 | 40 |
Questions
What is the 5028th prime number?
48883.
Which prime number is 48883?
48883 is the 5028th prime number.
What is the sum of the first 5028 primes?
115,820,589.