What is the 4032nd prime number?
The 4032nd prime number is 38197. The next prime is 38201 (a gap of 4) and the one before is 38189.
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 4032nd one is 38197.
- 2
38197 is prime because no prime up to ā38197 ā 195.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4032nd prime is close to 4032 Ć ln(4032) ā 33474, and here it is 38197.
- 4
38197 has no twin: neither 38195 nor 38199 is prime.
Primes around the 4032nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4029 | 38177 | 10 |
| 4030 | 38183 | 6 |
| 4031 | 38189 | 6 |
| 4032 | 38197 | 8 |
| 4033 | 38201 | 4 |
| 4034 | 38219 | 18 |
| 4035 | 38231 | 12 |
Questions
What is the 4032nd prime number?
38197.
Which prime number is 38197?
38197 is the 4032nd prime number.
What is the sum of the first 4032 primes?
72,483,297.