What is the 5249th prime number?
The 5249th prime number is 51307. The next prime is 51329 (a gap of 22) and the one before is 51287.
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 5249th one is 51307.
- 2
51307 is prime because no prime up to ā51307 ā 226.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5249th prime is close to 5249 Ć ln(5249) ā 44962, and here it is 51307.
- 4
51307 has no twin: neither 51305 nor 51309 is prime.
Primes around the 5249th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5246 | 51263 | 6 |
| 5247 | 51283 | 20 |
| 5248 | 51287 | 4 |
| 5249 | 51307 | 20 |
| 5250 | 51329 | 22 |
| 5251 | 51341 | 12 |
| 5252 | 51343 | 2 |
Questions
What is the 5249th prime number?
51307.
Which prime number is 51307?
51307 is the 5249th prime number.
What is the sum of the first 5249 primes?
126,887,800.