What is the 4203rd prime number?
The 4203rd prime number is 39989. The next prime is 40009 (a gap of 20) and the one before is 39983.
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 4203rd one is 39989.
- 2
39989 is prime because no prime up to ā39989 ā 199.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4203rd prime is close to 4203 Ć ln(4203) ā 35068, and here it is 39989.
- 4
39989 has no twin: neither 39987 nor 39991 is prime.
Primes around the 4203rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4200 | 39971 | 18 |
| 4201 | 39979 | 8 |
| 4202 | 39983 | 4 |
| 4203 | 39989 | 6 |
| 4204 | 40009 | 20 |
| 4205 | 40013 | 4 |
| 4206 | 40031 | 18 |
Questions
What is the 4203rd prime number?
39989.
Which prime number is 39989?
39989 is the 4203rd prime number.
What is the sum of the first 4203 primes?
79,170,666.