What is the 4363rd prime number?
The 4363rd prime number is 41719. The next prime is 41729 (a gap of 10) and the one before is 41687.
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 4363rd one is 41719.
- 2
41719 is prime because no prime up to ā41719 ā 204.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4363rd prime is close to 4363 Ć ln(4363) ā 36566, and here it is 41719.
- 4
41719 has no twin: neither 41717 nor 41721 is prime.
Primes around the 4363rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4360 | 41669 | 10 |
| 4361 | 41681 | 12 |
| 4362 | 41687 | 6 |
| 4363 | 41719 | 32 |
| 4364 | 41729 | 10 |
| 4365 | 41737 | 8 |
| 4366 | 41759 | 22 |
Questions
What is the 4363rd prime number?
41719.
Which prime number is 41719?
41719 is the 4363rd prime number.
What is the sum of the first 4363 primes?
85,713,068.