What is the 4030th prime number?
The 4030th prime number is 38183. The next prime is 38189 (a gap of 6) and the one before is 38177.
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 4030th one is 38183.
- 2
38183 is prime because no prime up to ā38183 ā 195.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4030th prime is close to 4030 Ć ln(4030) ā 33455, and here it is 38183.
- 4
38183 has no twin: neither 38181 nor 38185 is prime.
Primes around the 4030th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4027 | 38153 | 4 |
| 4028 | 38167 | 14 |
| 4029 | 38177 | 10 |
| 4030 | 38183 | 6 |
| 4031 | 38189 | 6 |
| 4032 | 38197 | 8 |
| 4033 | 38201 | 4 |
Questions
What is the 4030th prime number?
38183.
Which prime number is 38183?
38183 is the 4030th prime number.
What is the sum of the first 4030 primes?
72,406,911.