What is the 3845th prime number?
The 3845th prime number is 36229. The next prime is 36241 (a gap of 12) and the one before is 36217.
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 3845th one is 36229.
- 2
36229 is prime because no prime up to ā36229 ā 190.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3845th prime is close to 3845 Ć ln(3845) ā 31739, and here it is 36229.
- 4
36229 has no twin: neither 36227 nor 36231 is prime.
Primes around the 3845th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3842 | 36191 | 4 |
| 3843 | 36209 | 18 |
| 3844 | 36217 | 8 |
| 3845 | 36229 | 12 |
| 3846 | 36241 | 12 |
| 3847 | 36251 | 10 |
| 3848 | 36263 | 12 |
Questions
What is the 3845th prime number?
36229.
Which prime number is 36229?
36229 is the 3845th prime number.
What is the sum of the first 3845 primes?
65,529,362.