What is the 4201st prime number?
The 4201st prime number is 39979. The next prime is 39983 (a gap of 4) and the one before is 39971.
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 4201st one is 39979.
- 2
39979 is prime because no prime up to ā39979 ā 199.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4201st prime is close to 4201 Ć ln(4201) ā 35049, and here it is 39979.
- 4
39979 has no twin: neither 39977 nor 39981 is prime.
Primes around the 4201st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4198 | 39937 | 8 |
| 4199 | 39953 | 16 |
| 4200 | 39971 | 18 |
| 4201 | 39979 | 8 |
| 4202 | 39983 | 4 |
| 4203 | 39989 | 6 |
| 4204 | 40009 | 20 |
Questions
What is the 4201st prime number?
39979.
Which prime number is 39979?
39979 is the 4201st prime number.
What is the sum of the first 4201 primes?
79,090,694.