What is the 3838th prime number?
The 3838th prime number is 36137. The next prime is 36151 (a gap of 14) and the one before is 36131.
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 3838th one is 36137.
- 2
36137 is prime because no prime up to ā36137 ā 190.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3838th prime is close to 3838 Ć ln(3838) ā 31674, and here it is 36137.
- 4
36137 has no twin: neither 36135 nor 36139 is prime.
Primes around the 3838th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3835 | 36107 | 10 |
| 3836 | 36109 | 2 |
| 3837 | 36131 | 22 |
| 3838 | 36137 | 6 |
| 3839 | 36151 | 14 |
| 3840 | 36161 | 10 |
| 3841 | 36187 | 26 |
Questions
What is the 3838th prime number?
36137.
Which prime number is 36137?
36137 is the 3838th prime number.
What is the sum of the first 3838 primes?
65,276,017.