What is the 3895th prime number?
The 3895th prime number is 36739. The next prime is 36749 (a gap of 10) and the one before is 36721.
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 3895th one is 36739.
- 2
36739 is prime because no prime up to ā36739 ā 191.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3895th prime is close to 3895 Ć ln(3895) ā 32202, and here it is 36739.
- 4
36739 has no twin: neither 36737 nor 36741 is prime.
Primes around the 3895th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3892 | 36709 | 12 |
| 3893 | 36713 | 4 |
| 3894 | 36721 | 8 |
| 3895 | 36739 | 18 |
| 3896 | 36749 | 10 |
| 3897 | 36761 | 12 |
| 3898 | 36767 | 6 |
Questions
What is the 3895th prime number?
36739.
Which prime number is 36739?
36739 is the 3895th prime number.
What is the sum of the first 3895 primes?
67,354,198.