What is the 4649th prime number?
The 4649th prime number is 44729. The next prime is 44741 (a gap of 12) and the one before is 44711.
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 4649th one is 44729.
- 2
44729 is prime because no prime up to ā44729 ā 211.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4649th prime is close to 4649 Ć ln(4649) ā 39258, and here it is 44729.
- 4
44729 has no twin: neither 44727 nor 44731 is prime.
Primes around the 4649th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4646 | 44699 | 12 |
| 4647 | 44701 | 2 |
| 4648 | 44711 | 10 |
| 4649 | 44729 | 18 |
| 4650 | 44741 | 12 |
| 4651 | 44753 | 12 |
| 4652 | 44771 | 18 |
Questions
What is the 4649th prime number?
44729.
Which prime number is 44729?
44729 is the 4649th prime number.
What is the sum of the first 4649 primes?
98,066,804.