What is the 4035th prime number?
The 4035th prime number is 38231. The next prime is 38237 (a gap of 6) and the one before is 38219.
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 4035th one is 38231.
- 2
38231 is prime because no prime up to ā38231 ā 195.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4035th prime is close to 4035 Ć ln(4035) ā 33502, and here it is 38231.
- 4
38231 has no twin: neither 38229 nor 38233 is prime.
Primes around the 4035th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4032 | 38197 | 8 |
| 4033 | 38201 | 4 |
| 4034 | 38219 | 18 |
| 4035 | 38231 | 12 |
| 4036 | 38237 | 6 |
| 4037 | 38239 | 2 |
| 4038 | 38261 | 22 |
Questions
What is the 4035th prime number?
38231.
Which prime number is 38231?
38231 is the 4035th prime number.
What is the sum of the first 4035 primes?
72,597,948.