What is the 5027th prime number?
The 5027th prime number is 48871. The next prime is 48883 (a gap of 12) and the one before is 48869.
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 5027th one is 48871.
- 2
48871 is prime because no prime up to ā48871 ā 221.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5027th prime is close to 5027 Ć ln(5027) ā 42843, and here it is 48871.
- 4
48871 is a twin prime: 48869 and 48871 are both prime.
Primes around the 5027th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5024 | 48857 | 10 |
| 5025 | 48859 | 2 |
| 5026 | 48869 | 10 |
| 5027 | 48871 | 2 |
| 5028 | 48883 | 12 |
| 5029 | 48889 | 6 |
| 5030 | 48907 | 18 |
Questions
What is the 5027th prime number?
48871.
Which prime number is 48871?
48871 is the 5027th prime number.
What is the sum of the first 5027 primes?
115,771,706.