What is the 5225th prime number?
The 5225th prime number is 51043. The next prime is 51047 (a gap of 4) and the one before is 51031.
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 5225th one is 51043.
- 2
51043 is prime because no prime up to ā51043 ā 225.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5225th prime is close to 5225 Ć ln(5225) ā 44732, and here it is 51043.
- 4
51043 has no twin: neither 51041 nor 51045 is prime.
Primes around the 5225th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5222 | 50993 | 4 |
| 5223 | 51001 | 8 |
| 5224 | 51031 | 30 |
| 5225 | 51043 | 12 |
| 5226 | 51047 | 4 |
| 5227 | 51059 | 12 |
| 5228 | 51061 | 2 |
Questions
What is the 5225th prime number?
51043.
Which prime number is 51043?
51043 is the 5225th prime number.
What is the sum of the first 5225 primes?
125,659,460.