What is the 3848th prime number?
The 3848th prime number is 36263. The next prime is 36269 (a gap of 6) and the one before is 36251.
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 3848th one is 36263.
- 2
36263 is prime because no prime up to ā36263 ā 190.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3848th prime is close to 3848 Ć ln(3848) ā 31766, and here it is 36263.
- 4
36263 has no twin: neither 36261 nor 36265 is prime.
Primes around the 3848th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3845 | 36229 | 12 |
| 3846 | 36241 | 12 |
| 3847 | 36251 | 10 |
| 3848 | 36263 | 12 |
| 3849 | 36269 | 6 |
| 3850 | 36277 | 8 |
| 3851 | 36293 | 16 |
Questions
What is the 3848th prime number?
36263.
Which prime number is 36263?
36263 is the 3848th prime number.
What is the sum of the first 3848 primes?
65,638,117.