What is the 3918th prime number?
The 3918th prime number is 36931. The next prime is 36943 (a gap of 12) and the one before is 36929.
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 3918th one is 36931.
- 2
36931 is prime because no prime up to ā36931 ā 192.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3918th prime is close to 3918 Ć ln(3918) ā 32415, and here it is 36931.
- 4
36931 is a twin prime: 36929 and 36931 are both prime.
Primes around the 3918th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3915 | 36919 | 6 |
| 3916 | 36923 | 4 |
| 3917 | 36929 | 6 |
| 3918 | 36931 | 2 |
| 3919 | 36943 | 12 |
| 3920 | 36947 | 4 |
| 3921 | 36973 | 26 |
Questions
What is the 3918th prime number?
36931.
Which prime number is 36931?
36931 is the 3918th prime number.
What is the sum of the first 3918 primes?
68,201,623.