What is the 3835th prime number?
The 3835th prime number is 36107. The next prime is 36109 (a gap of 2) and the one before is 36097.
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 3835th one is 36107.
- 2
36107 is prime because no prime up to ā36107 ā 190.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3835th prime is close to 3835 Ć ln(3835) ā 31646, and here it is 36107.
- 4
36107 is a twin prime: 36107 and 36109 are both prime.
Primes around the 3835th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3832 | 36073 | 6 |
| 3833 | 36083 | 10 |
| 3834 | 36097 | 14 |
| 3835 | 36107 | 10 |
| 3836 | 36109 | 2 |
| 3837 | 36131 | 22 |
| 3838 | 36137 | 6 |
Questions
What is the 3835th prime number?
36107.
Which prime number is 36107?
36107 is the 3835th prime number.
What is the sum of the first 3835 primes?
65,167,640.