What is the 3916th prime number?
The 3916th prime number is 36923. The next prime is 36929 (a gap of 6) and the one before is 36919.
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 3916th one is 36923.
- 2
36923 is prime because no prime up to ā36923 ā 192.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3916th prime is close to 3916 Ć ln(3916) ā 32396, and here it is 36923.
- 4
36923 has no twin: neither 36921 nor 36925 is prime.
Primes around the 3916th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3913 | 36901 | 2 |
| 3914 | 36913 | 12 |
| 3915 | 36919 | 6 |
| 3916 | 36923 | 4 |
| 3917 | 36929 | 6 |
| 3918 | 36931 | 2 |
| 3919 | 36943 | 12 |
Questions
What is the 3916th prime number?
36923.
Which prime number is 36923?
36923 is the 3916th prime number.
What is the sum of the first 3916 primes?
68,127,763.