What is the 4152nd prime number?
The 4152nd prime number is 39443. The next prime is 39451 (a gap of 8) and the one before is 39439.
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 4152nd one is 39443.
- 2
39443 is prime because no prime up to ā39443 ā 198.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4152nd prime is close to 4152 Ć ln(4152) ā 34592, and here it is 39443.
- 4
39443 has no twin: neither 39441 nor 39445 is prime.
Primes around the 4152nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4149 | 39409 | 12 |
| 4150 | 39419 | 10 |
| 4151 | 39439 | 20 |
| 4152 | 39443 | 4 |
| 4153 | 39451 | 8 |
| 4154 | 39461 | 10 |
| 4155 | 39499 | 38 |
Questions
What is the 4152nd prime number?
39443.
Which prime number is 39443?
39443 is the 4152nd prime number.
What is the sum of the first 4152 primes?
77,144,129.