What is the 5247th prime number?
The 5247th prime number is 51283. The next prime is 51287 (a gap of 4) and the one before is 51263.
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 5247th one is 51283.
- 2
51283 is prime because no prime up to ā51283 ā 226.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5247th prime is close to 5247 Ć ln(5247) ā 44943, and here it is 51283.
- 4
51283 has no twin: neither 51281 nor 51285 is prime.
Primes around the 5247th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5244 | 51241 | 2 |
| 5245 | 51257 | 16 |
| 5246 | 51263 | 6 |
| 5247 | 51283 | 20 |
| 5248 | 51287 | 4 |
| 5249 | 51307 | 20 |
| 5250 | 51329 | 22 |
Questions
What is the 5247th prime number?
51283.
Which prime number is 51283?
51283 is the 5247th prime number.
What is the sum of the first 5247 primes?
126,785,206.