What is the 3897th prime number?
The 3897th prime number is 36761. The next prime is 36767 (a gap of 6) and the one before is 36749.
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 3897th one is 36761.
- 2
36761 is prime because no prime up to ā36761 ā 191.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3897th prime is close to 3897 Ć ln(3897) ā 32220, and here it is 36761.
- 4
36761 has no twin: neither 36759 nor 36763 is prime.
Primes around the 3897th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3894 | 36721 | 8 |
| 3895 | 36739 | 18 |
| 3896 | 36749 | 10 |
| 3897 | 36761 | 12 |
| 3898 | 36767 | 6 |
| 3899 | 36779 | 12 |
| 3900 | 36781 | 2 |
Questions
What is the 3897th prime number?
36761.
Which prime number is 36761?
36761 is the 3897th prime number.
What is the sum of the first 3897 primes?
67,427,708.