What is the 3853rd prime number?
The 3853rd prime number is 36307. The next prime is 36313 (a gap of 6) and the one before is 36299.
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 3853rd one is 36307.
- 2
36307 is prime because no prime up to ā36307 ā 190.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3853rd prime is close to 3853 Ć ln(3853) ā 31813, and here it is 36307.
- 4
36307 has no twin: neither 36305 nor 36309 is prime.
Primes around the 3853rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3850 | 36277 | 8 |
| 3851 | 36293 | 16 |
| 3852 | 36299 | 6 |
| 3853 | 36307 | 8 |
| 3854 | 36313 | 6 |
| 3855 | 36319 | 6 |
| 3856 | 36341 | 22 |
Questions
What is the 3853rd prime number?
36307.
Which prime number is 36307?
36307 is the 3853rd prime number.
What is the sum of the first 3853 primes?
65,819,562.