What is the 4356th prime number?
The 4356th prime number is 41641. The next prime is 41647 (a gap of 6) and the one before is 41627.
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 4356th one is 41641.
- 2
41641 is prime because no prime up to ā41641 ā 204.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4356th prime is close to 4356 Ć ln(4356) ā 36500, and here it is 41641.
- 4
41641 has no twin: neither 41639 nor 41643 is prime.
Primes around the 4356th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4353 | 41617 | 6 |
| 4354 | 41621 | 4 |
| 4355 | 41627 | 6 |
| 4356 | 41641 | 14 |
| 4357 | 41647 | 6 |
| 4358 | 41651 | 4 |
| 4359 | 41659 | 8 |
Questions
What is the 4356th prime number?
41641.
Which prime number is 41641?
41641 is the 4356th prime number.
What is the sum of the first 4356 primes?
85,421,355.