What is the 4052nd prime number?
The 4052nd prime number is 38393. The next prime is 38431 (a gap of 38) and the one before is 38377.
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 4052nd one is 38393.
- 2
38393 is prime because no prime up to ā38393 ā 195.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4052nd prime is close to 4052 Ć ln(4052) ā 33660, and here it is 38393.
- 4
38393 has no twin: neither 38391 nor 38395 is prime.
Primes around the 4052nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4049 | 38351 | 18 |
| 4050 | 38371 | 20 |
| 4051 | 38377 | 6 |
| 4052 | 38393 | 16 |
| 4053 | 38431 | 38 |
| 4054 | 38447 | 16 |
| 4055 | 38449 | 2 |
Questions
What is the 4052nd prime number?
38393.
Which prime number is 38393?
38393 is the 4052nd prime number.
What is the sum of the first 4052 primes?
73,249,247.