What is the 3902nd prime number?
The 3902nd prime number is 36791. The next prime is 36793 (a gap of 2) and the one before is 36787.
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 3902nd one is 36791.
- 2
36791 is prime because no prime up to ā36791 ā 191.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3902nd prime is close to 3902 Ć ln(3902) ā 32267, and here it is 36791.
- 4
36791 is a twin prime: 36791 and 36793 are both prime.
Primes around the 3902nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3899 | 36779 | 12 |
| 3900 | 36781 | 2 |
| 3901 | 36787 | 6 |
| 3902 | 36791 | 4 |
| 3903 | 36793 | 2 |
| 3904 | 36809 | 16 |
| 3905 | 36821 | 12 |
Questions
What is the 3902nd prime number?
36791.
Which prime number is 36791?
36791 is the 3902nd prime number.
What is the sum of the first 3902 primes?
67,611,613.