What is the 3917th prime number?
The 3917th prime number is 36929. The next prime is 36931 (a gap of 2) and the one before is 36923.
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 3917th one is 36929.
- 2
36929 is prime because no prime up to ā36929 ā 192.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3917th prime is close to 3917 Ć ln(3917) ā 32406, and here it is 36929.
- 4
36929 is a twin prime: 36929 and 36931 are both prime.
Primes around the 3917th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3914 | 36913 | 12 |
| 3915 | 36919 | 6 |
| 3916 | 36923 | 4 |
| 3917 | 36929 | 6 |
| 3918 | 36931 | 2 |
| 3919 | 36943 | 12 |
| 3920 | 36947 | 4 |
Questions
What is the 3917th prime number?
36929.
Which prime number is 36929?
36929 is the 3917th prime number.
What is the sum of the first 3917 primes?
68,164,692.