What is the 5026th prime number?
The 5026th prime number is 48869. The next prime is 48871 (a gap of 2) and the one before is 48859.
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 5026th one is 48869.
- 2
48869 is prime because no prime up to ā48869 ā 221.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5026th prime is close to 5026 Ć ln(5026) ā 42833, and here it is 48869.
- 4
48869 is a twin prime: 48869 and 48871 are both prime.
Primes around the 5026th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5023 | 48847 | 24 |
| 5024 | 48857 | 10 |
| 5025 | 48859 | 2 |
| 5026 | 48869 | 10 |
| 5027 | 48871 | 2 |
| 5028 | 48883 | 12 |
| 5029 | 48889 | 6 |
Questions
What is the 5026th prime number?
48869.
Which prime number is 48869?
48869 is the 5026th prime number.
What is the sum of the first 5026 primes?
115,722,835.