What is the 4648th prime number?
The 4648th prime number is 44711. The next prime is 44729 (a gap of 18) and the one before is 44701.
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 4648th one is 44711.
- 2
44711 is prime because no prime up to ā44711 ā 211.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4648th prime is close to 4648 Ć ln(4648) ā 39249, and here it is 44711.
- 4
44711 has no twin: neither 44709 nor 44713 is prime.
Primes around the 4648th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4645 | 44687 | 4 |
| 4646 | 44699 | 12 |
| 4647 | 44701 | 2 |
| 4648 | 44711 | 10 |
| 4649 | 44729 | 18 |
| 4650 | 44741 | 12 |
| 4651 | 44753 | 12 |
Questions
What is the 4648th prime number?
44711.
Which prime number is 44711?
44711 is the 4648th prime number.
What is the sum of the first 4648 primes?
98,022,075.