What is the 4023rd prime number?
The 4023rd prime number is 38083. The next prime is 38113 (a gap of 30) and the one before is 38069.
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 4023rd one is 38083.
- 2
38083 is prime because no prime up to ā38083 ā 195.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4023rd prime is close to 4023 Ć ln(4023) ā 33390, and here it is 38083.
- 4
38083 has no twin: neither 38081 nor 38085 is prime.
Primes around the 4023rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4020 | 38047 | 8 |
| 4021 | 38053 | 6 |
| 4022 | 38069 | 16 |
| 4023 | 38083 | 14 |
| 4024 | 38113 | 30 |
| 4025 | 38119 | 6 |
| 4026 | 38149 | 30 |
Questions
What is the 4023rd prime number?
38083.
Which prime number is 38083?
38083 is the 4023rd prime number.
What is the sum of the first 4023 primes?
72,139,850.