What is the 3899th prime number?
The 3899th prime number is 36779. The next prime is 36781 (a gap of 2) and the one before is 36767.
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 3899th one is 36779.
- 2
36779 is prime because no prime up to ā36779 ā 191.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3899th prime is close to 3899 Ć ln(3899) ā 32239, and here it is 36779.
- 4
36779 is a twin prime: 36779 and 36781 are both prime.
Primes around the 3899th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3896 | 36749 | 10 |
| 3897 | 36761 | 12 |
| 3898 | 36767 | 6 |
| 3899 | 36779 | 12 |
| 3900 | 36781 | 2 |
| 3901 | 36787 | 6 |
| 3902 | 36791 | 4 |
Questions
What is the 3899th prime number?
36779.
Which prime number is 36779?
36779 is the 3899th prime number.
What is the sum of the first 3899 primes?
67,501,254.