What is the 4036th prime number?
The 4036th prime number is 38237. The next prime is 38239 (a gap of 2) and the one before is 38231.
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 4036th one is 38237.
- 2
38237 is prime because no prime up to ā38237 ā 195.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4036th prime is close to 4036 Ć ln(4036) ā 33511, and here it is 38237.
- 4
38237 is a twin prime: 38237 and 38239 are both prime.
Primes around the 4036th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4033 | 38201 | 4 |
| 4034 | 38219 | 18 |
| 4035 | 38231 | 12 |
| 4036 | 38237 | 6 |
| 4037 | 38239 | 2 |
| 4038 | 38261 | 22 |
| 4039 | 38273 | 12 |
Questions
What is the 4036th prime number?
38237.
Which prime number is 38237?
38237 is the 4036th prime number.
What is the sum of the first 4036 primes?
72,636,185.