What is the 4037th prime number?
The 4037th prime number is 38239. The next prime is 38261 (a gap of 22) and the one before is 38237.
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 4037th one is 38239.
- 2
38239 is prime because no prime up to ā38239 ā 195.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4037th prime is close to 4037 Ć ln(4037) ā 33520, and here it is 38239.
- 4
38239 is a twin prime: 38237 and 38239 are both prime.
Primes around the 4037th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4034 | 38219 | 18 |
| 4035 | 38231 | 12 |
| 4036 | 38237 | 6 |
| 4037 | 38239 | 2 |
| 4038 | 38261 | 22 |
| 4039 | 38273 | 12 |
| 4040 | 38281 | 8 |
Questions
What is the 4037th prime number?
38239.
Which prime number is 38239?
38239 is the 4037th prime number.
What is the sum of the first 4037 primes?
72,674,424.