What is the 5246th prime number?
The 5246th prime number is 51263. The next prime is 51283 (a gap of 20) and the one before is 51257.
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 5246th one is 51263.
- 2
51263 is prime because no prime up to ā51263 ā 226.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5246th prime is close to 5246 Ć ln(5246) ā 44933, and here it is 51263.
- 4
51263 has no twin: neither 51261 nor 51265 is prime.
Primes around the 5246th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5243 | 51239 | 10 |
| 5244 | 51241 | 2 |
| 5245 | 51257 | 16 |
| 5246 | 51263 | 6 |
| 5247 | 51283 | 20 |
| 5248 | 51287 | 4 |
| 5249 | 51307 | 20 |
Questions
What is the 5246th prime number?
51263.
Which prime number is 51263?
51263 is the 5246th prime number.
What is the sum of the first 5246 primes?
126,733,923.