What is the 5224th prime number?
The 5224th prime number is 51031. The next prime is 51043 (a gap of 12) and the one before is 51001.
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 5224th one is 51031.
- 2
51031 is prime because no prime up to ā51031 ā 225.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5224th prime is close to 5224 Ć ln(5224) ā 44723, and here it is 51031.
- 4
51031 has no twin: neither 51029 nor 51033 is prime.
Primes around the 5224th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5221 | 50989 | 18 |
| 5222 | 50993 | 4 |
| 5223 | 51001 | 8 |
| 5224 | 51031 | 30 |
| 5225 | 51043 | 12 |
| 5226 | 51047 | 4 |
| 5227 | 51059 | 12 |
Questions
What is the 5224th prime number?
51031.
Which prime number is 51031?
51031 is the 5224th prime number.
What is the sum of the first 5224 primes?
125,608,417.