What is the 3913th prime number?
The 3913th prime number is 36901. The next prime is 36913 (a gap of 12) and the one before is 36899.
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 3913th one is 36901.
- 2
36901 is prime because no prime up to ā36901 ā 192.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3913th prime is close to 3913 Ć ln(3913) ā 32369, and here it is 36901.
- 4
36901 is a twin prime: 36899 and 36901 are both prime.
Primes around the 3913th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3910 | 36877 | 6 |
| 3911 | 36887 | 10 |
| 3912 | 36899 | 12 |
| 3913 | 36901 | 2 |
| 3914 | 36913 | 12 |
| 3915 | 36919 | 6 |
| 3916 | 36923 | 4 |
Questions
What is the 3913th prime number?
36901.
Which prime number is 36901?
36901 is the 3913th prime number.
What is the sum of the first 3913 primes?
68,017,008.