What is the 4146th prime number?
The 4146th prime number is 39373. The next prime is 39383 (a gap of 10) and the one before is 39371.
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 4146th one is 39373.
- 2
39373 is prime because no prime up to ā39373 ā 198.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4146th prime is close to 4146 Ć ln(4146) ā 34536, and here it is 39373.
- 4
39373 is a twin prime: 39371 and 39373 are both prime.
Primes around the 4146th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4143 | 39359 | 16 |
| 4144 | 39367 | 8 |
| 4145 | 39371 | 4 |
| 4146 | 39373 | 2 |
| 4147 | 39383 | 10 |
| 4148 | 39397 | 14 |
| 4149 | 39409 | 12 |
Questions
What is the 4146th prime number?
39373.
Which prime number is 39373?
39373 is the 4146th prime number.
What is the sum of the first 4146 primes?
76,907,639.