What is the 4200th prime number?
The 4200th prime number is 39971. The next prime is 39979 (a gap of 8) and the one before is 39953.
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 4200th one is 39971.
- 2
39971 is prime because no prime up to ā39971 ā 199.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4200th prime is close to 4200 Ć ln(4200) ā 35040, and here it is 39971.
- 4
39971 has no twin: neither 39969 nor 39973 is prime.
Primes around the 4200th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4197 | 39929 | 28 |
| 4198 | 39937 | 8 |
| 4199 | 39953 | 16 |
| 4200 | 39971 | 18 |
| 4201 | 39979 | 8 |
| 4202 | 39983 | 4 |
| 4203 | 39989 | 6 |
Questions
What is the 4200th prime number?
39971.
Which prime number is 39971?
39971 is the 4200th prime number.
What is the sum of the first 4200 primes?
79,050,715.