What is the 3898th prime number?
The 3898th prime number is 36767. The next prime is 36779 (a gap of 12) and the one before is 36761.
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 3898th one is 36767.
- 2
36767 is prime because no prime up to ā36767 ā 191.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3898th prime is close to 3898 Ć ln(3898) ā 32230, and here it is 36767.
- 4
36767 has no twin: neither 36765 nor 36769 is prime.
Primes around the 3898th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3895 | 36739 | 18 |
| 3896 | 36749 | 10 |
| 3897 | 36761 | 12 |
| 3898 | 36767 | 6 |
| 3899 | 36779 | 12 |
| 3900 | 36781 | 2 |
| 3901 | 36787 | 6 |
Questions
What is the 3898th prime number?
36767.
Which prime number is 36767?
36767 is the 3898th prime number.
What is the sum of the first 3898 primes?
67,464,475.