What is the 5228th prime number?
The 5228th prime number is 51061. The next prime is 51071 (a gap of 10) and the one before is 51059.
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 5228th one is 51061.
- 2
51061 is prime because no prime up to ā51061 ā 225.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5228th prime is close to 5228 Ć ln(5228) ā 44761, and here it is 51061.
- 4
51061 is a twin prime: 51059 and 51061 are both prime.
Primes around the 5228th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5225 | 51043 | 12 |
| 5226 | 51047 | 4 |
| 5227 | 51059 | 12 |
| 5228 | 51061 | 2 |
| 5229 | 51071 | 10 |
| 5230 | 51109 | 38 |
| 5231 | 51131 | 22 |
Questions
What is the 5228th prime number?
51061.
Which prime number is 51061?
51061 is the 5228th prime number.
What is the sum of the first 5228 primes?
125,812,627.