What is the 3834th prime number?
The 3834th prime number is 36097. The next prime is 36107 (a gap of 10) and the one before is 36083.
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 3834th one is 36097.
- 2
36097 is prime because no prime up to ā36097 ā 189.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3834th prime is close to 3834 Ć ln(3834) ā 31637, and here it is 36097.
- 4
36097 has no twin: neither 36095 nor 36099 is prime.
Primes around the 3834th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3831 | 36067 | 6 |
| 3832 | 36073 | 6 |
| 3833 | 36083 | 10 |
| 3834 | 36097 | 14 |
| 3835 | 36107 | 10 |
| 3836 | 36109 | 2 |
| 3837 | 36131 | 22 |
Questions
What is the 3834th prime number?
36097.
Which prime number is 36097?
36097 is the 3834th prime number.
What is the sum of the first 3834 primes?
65,131,533.