What is the 4360th prime number?
The 4360th prime number is 41669. The next prime is 41681 (a gap of 12) and the one before is 41659.
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 4360th one is 41669.
- 2
41669 is prime because no prime up to ā41669 ā 204.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4360th prime is close to 4360 Ć ln(4360) ā 36538, and here it is 41669.
- 4
41669 has no twin: neither 41667 nor 41671 is prime.
Primes around the 4360th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4357 | 41647 | 6 |
| 4358 | 41651 | 4 |
| 4359 | 41659 | 8 |
| 4360 | 41669 | 10 |
| 4361 | 41681 | 12 |
| 4362 | 41687 | 6 |
| 4363 | 41719 | 32 |
Questions
What is the 4360th prime number?
41669.
Which prime number is 41669?
41669 is the 4360th prime number.
What is the sum of the first 4360 primes?
85,587,981.