What is the 4053rd prime number?
The 4053rd prime number is 38431. The next prime is 38447 (a gap of 16) and the one before is 38393.
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 4053rd one is 38431.
- 2
38431 is prime because no prime up to ā38431 ā 196.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4053rd prime is close to 4053 Ć ln(4053) ā 33669, and here it is 38431.
- 4
38431 has no twin: neither 38429 nor 38433 is prime.
Primes around the 4053rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4050 | 38371 | 20 |
| 4051 | 38377 | 6 |
| 4052 | 38393 | 16 |
| 4053 | 38431 | 38 |
| 4054 | 38447 | 16 |
| 4055 | 38449 | 2 |
| 4056 | 38453 | 4 |
Questions
What is the 4053rd prime number?
38431.
Which prime number is 38431?
38431 is the 4053rd prime number.
What is the sum of the first 4053 primes?
73,287,678.