What is the 4031st prime number?
The 4031st prime number is 38189. The next prime is 38197 (a gap of 8) and the one before is 38183.
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 4031st one is 38189.
- 2
38189 is prime because no prime up to ā38189 ā 195.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4031st prime is close to 4031 Ć ln(4031) ā 33464, and here it is 38189.
- 4
38189 has no twin: neither 38187 nor 38191 is prime.
Primes around the 4031st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4028 | 38167 | 14 |
| 4029 | 38177 | 10 |
| 4030 | 38183 | 6 |
| 4031 | 38189 | 6 |
| 4032 | 38197 | 8 |
| 4033 | 38201 | 4 |
| 4034 | 38219 | 18 |
Questions
What is the 4031st prime number?
38189.
Which prime number is 38189?
38189 is the 4031st prime number.
What is the sum of the first 4031 primes?
72,445,100.