What is the 5245th prime number?
The 5245th prime number is 51257. The next prime is 51263 (a gap of 6) and the one before is 51241.
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 5245th one is 51257.
- 2
51257 is prime because no prime up to ā51257 ā 226.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5245th prime is close to 5245 Ć ln(5245) ā 44924, and here it is 51257.
- 4
51257 has no twin: neither 51255 nor 51259 is prime.
Primes around the 5245th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5242 | 51229 | 12 |
| 5243 | 51239 | 10 |
| 5244 | 51241 | 2 |
| 5245 | 51257 | 16 |
| 5246 | 51263 | 6 |
| 5247 | 51283 | 20 |
| 5248 | 51287 | 4 |
Questions
What is the 5245th prime number?
51257.
Which prime number is 51257?
51257 is the 5245th prime number.
What is the sum of the first 5245 primes?
126,682,660.