What is the 3837th prime number?
The 3837th prime number is 36131. The next prime is 36137 (a gap of 6) and the one before is 36109.
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 3837th one is 36131.
- 2
36131 is prime because no prime up to ā36131 ā 190.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3837th prime is close to 3837 Ć ln(3837) ā 31665, and here it is 36131.
- 4
36131 has no twin: neither 36129 nor 36133 is prime.
Primes around the 3837th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3834 | 36097 | 14 |
| 3835 | 36107 | 10 |
| 3836 | 36109 | 2 |
| 3837 | 36131 | 22 |
| 3838 | 36137 | 6 |
| 3839 | 36151 | 14 |
| 3840 | 36161 | 10 |
Questions
What is the 3837th prime number?
36131.
Which prime number is 36131?
36131 is the 3837th prime number.
What is the sum of the first 3837 primes?
65,239,880.