What is the 4545th prime number?
The 4545th prime number is 43613. The next prime is 43627 (a gap of 14) and the one before is 43609.
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 4545th one is 43613.
- 2
43613 is prime because no prime up to ā43613 ā 208.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4545th prime is close to 4545 Ć ln(4545) ā 38277, and here it is 43613.
- 4
43613 has no twin: neither 43611 nor 43615 is prime.
Primes around the 4545th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4542 | 43597 | 6 |
| 4543 | 43607 | 10 |
| 4544 | 43609 | 2 |
| 4545 | 43613 | 4 |
| 4546 | 43627 | 14 |
| 4547 | 43633 | 6 |
| 4548 | 43649 | 16 |
Questions
What is the 4545th prime number?
43613.
Which prime number is 43613?
43613 is the 4545th prime number.
What is the sum of the first 4545 primes?
93,471,530.