What is the 3852nd prime number?
The 3852nd prime number is 36299. The next prime is 36307 (a gap of 8) and the one before is 36293.
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 3852nd one is 36299.
- 2
36299 is prime because no prime up to ā36299 ā 190.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3852nd prime is close to 3852 Ć ln(3852) ā 31803, and here it is 36299.
- 4
36299 has no twin: neither 36297 nor 36301 is prime.
Primes around the 3852nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3849 | 36269 | 6 |
| 3850 | 36277 | 8 |
| 3851 | 36293 | 16 |
| 3852 | 36299 | 6 |
| 3853 | 36307 | 8 |
| 3854 | 36313 | 6 |
| 3855 | 36319 | 6 |
Questions
What is the 3852nd prime number?
36299.
Which prime number is 36299?
36299 is the 3852nd prime number.
What is the sum of the first 3852 primes?
65,783,255.