What is the 3896th prime number?
The 3896th prime number is 36749. The next prime is 36761 (a gap of 12) and the one before is 36739.
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 3896th one is 36749.
- 2
36749 is prime because no prime up to ā36749 ā 191.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3896th prime is close to 3896 Ć ln(3896) ā 32211, and here it is 36749.
- 4
36749 has no twin: neither 36747 nor 36751 is prime.
Primes around the 3896th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3893 | 36713 | 4 |
| 3894 | 36721 | 8 |
| 3895 | 36739 | 18 |
| 3896 | 36749 | 10 |
| 3897 | 36761 | 12 |
| 3898 | 36767 | 6 |
| 3899 | 36779 | 12 |
Questions
What is the 3896th prime number?
36749.
Which prime number is 36749?
36749 is the 3896th prime number.
What is the sum of the first 3896 primes?
67,390,947.