What is the 5248th prime number?
The 5248th prime number is 51287. The next prime is 51307 (a gap of 20) and the one before is 51283.
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 5248th one is 51287.
- 2
51287 is prime because no prime up to ā51287 ā 226.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5248th prime is close to 5248 Ć ln(5248) ā 44952, and here it is 51287.
- 4
51287 has no twin: neither 51285 nor 51289 is prime.
Primes around the 5248th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5245 | 51257 | 16 |
| 5246 | 51263 | 6 |
| 5247 | 51283 | 20 |
| 5248 | 51287 | 4 |
| 5249 | 51307 | 20 |
| 5250 | 51329 | 22 |
| 5251 | 51341 | 12 |
Questions
What is the 5248th prime number?
51287.
Which prime number is 51287?
51287 is the 5248th prime number.
What is the sum of the first 5248 primes?
126,836,493.