What is the 4357th prime number?
The 4357th prime number is 41647. The next prime is 41651 (a gap of 4) and the one before is 41641.
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 4357th one is 41647.
- 2
41647 is prime because no prime up to ā41647 ā 204.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4357th prime is close to 4357 Ć ln(4357) ā 36510, and here it is 41647.
- 4
41647 has no twin: neither 41645 nor 41649 is prime.
Primes around the 4357th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4354 | 41621 | 4 |
| 4355 | 41627 | 6 |
| 4356 | 41641 | 14 |
| 4357 | 41647 | 6 |
| 4358 | 41651 | 4 |
| 4359 | 41659 | 8 |
| 4360 | 41669 | 10 |
Questions
What is the 4357th prime number?
41647.
Which prime number is 41647?
41647 is the 4357th prime number.
What is the sum of the first 4357 primes?
85,463,002.