What is the 4650th prime number?
The 4650th prime number is 44741. The next prime is 44753 (a gap of 12) and the one before is 44729.
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 4650th one is 44741.
- 2
44741 is prime because no prime up to ā44741 ā 211.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4650th prime is close to 4650 Ć ln(4650) ā 39267, and here it is 44741.
- 4
44741 has no twin: neither 44739 nor 44743 is prime.
Primes around the 4650th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4647 | 44701 | 2 |
| 4648 | 44711 | 10 |
| 4649 | 44729 | 18 |
| 4650 | 44741 | 12 |
| 4651 | 44753 | 12 |
| 4652 | 44771 | 18 |
| 4653 | 44773 | 2 |
Questions
What is the 4650th prime number?
44741.
Which prime number is 44741?
44741 is the 4650th prime number.
What is the sum of the first 4650 primes?
98,111,545.