What is the 4355th prime number?
The 4355th prime number is 41627. The next prime is 41641 (a gap of 14) and the one before is 41621.
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 4355th one is 41627.
- 2
41627 is prime because no prime up to ā41627 ā 204.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4355th prime is close to 4355 Ć ln(4355) ā 36491, and here it is 41627.
- 4
41627 has no twin: neither 41625 nor 41629 is prime.
Primes around the 4355th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4352 | 41611 | 2 |
| 4353 | 41617 | 6 |
| 4354 | 41621 | 4 |
| 4355 | 41627 | 6 |
| 4356 | 41641 | 14 |
| 4357 | 41647 | 6 |
| 4358 | 41651 | 4 |
Questions
What is the 4355th prime number?
41627.
Which prime number is 41627?
41627 is the 4355th prime number.
What is the sum of the first 4355 primes?
85,379,714.