What is the 3850th prime number?
The 3850th prime number is 36277. The next prime is 36293 (a gap of 16) and the one before is 36269.
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 3850th one is 36277.
- 2
36277 is prime because no prime up to ā36277 ā 190.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3850th prime is close to 3850 Ć ln(3850) ā 31785, and here it is 36277.
- 4
36277 has no twin: neither 36275 nor 36279 is prime.
Primes around the 3850th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3847 | 36251 | 10 |
| 3848 | 36263 | 12 |
| 3849 | 36269 | 6 |
| 3850 | 36277 | 8 |
| 3851 | 36293 | 16 |
| 3852 | 36299 | 6 |
| 3853 | 36307 | 8 |
Questions
What is the 3850th prime number?
36277.
Which prime number is 36277?
36277 is the 3850th prime number.
What is the sum of the first 3850 primes?
65,710,663.