What is the 4358th prime number?
The 4358th prime number is 41651. The next prime is 41659 (a gap of 8) and the one before is 41647.
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 4358th one is 41651.
- 2
41651 is prime because no prime up to ā41651 ā 204.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4358th prime is close to 4358 Ć ln(4358) ā 36519, and here it is 41651.
- 4
41651 has no twin: neither 41649 nor 41653 is prime.
Primes around the 4358th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4355 | 41627 | 6 |
| 4356 | 41641 | 14 |
| 4357 | 41647 | 6 |
| 4358 | 41651 | 4 |
| 4359 | 41659 | 8 |
| 4360 | 41669 | 10 |
| 4361 | 41681 | 12 |
Questions
What is the 4358th prime number?
41651.
Which prime number is 41651?
41651 is the 4358th prime number.
What is the sum of the first 4358 primes?
85,504,653.