What is the 3846th prime number?
The 3846th prime number is 36241. The next prime is 36251 (a gap of 10) and the one before is 36229.
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 3846th one is 36241.
- 2
36241 is prime because no prime up to ā36241 ā 190.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3846th prime is close to 3846 Ć ln(3846) ā 31748, and here it is 36241.
- 4
36241 has no twin: neither 36239 nor 36243 is prime.
Primes around the 3846th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3843 | 36209 | 18 |
| 3844 | 36217 | 8 |
| 3845 | 36229 | 12 |
| 3846 | 36241 | 12 |
| 3847 | 36251 | 10 |
| 3848 | 36263 | 12 |
| 3849 | 36269 | 6 |
Questions
What is the 3846th prime number?
36241.
Which prime number is 36241?
36241 is the 3846th prime number.
What is the sum of the first 3846 primes?
65,565,603.