What is the 4033rd prime number?
The 4033rd prime number is 38201. The next prime is 38219 (a gap of 18) and the one before is 38197.
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 4033rd one is 38201.
- 2
38201 is prime because no prime up to ā38201 ā 195.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4033rd prime is close to 4033 Ć ln(4033) ā 33483, and here it is 38201.
- 4
38201 has no twin: neither 38199 nor 38203 is prime.
Primes around the 4033rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4030 | 38183 | 6 |
| 4031 | 38189 | 6 |
| 4032 | 38197 | 8 |
| 4033 | 38201 | 4 |
| 4034 | 38219 | 18 |
| 4035 | 38231 | 12 |
| 4036 | 38237 | 6 |
Questions
What is the 4033rd prime number?
38201.
Which prime number is 38201?
38201 is the 4033rd prime number.
What is the sum of the first 4033 primes?
72,521,498.