What is the 4646th prime number?
The 4646th prime number is 44699. The next prime is 44701 (a gap of 2) and the one before is 44687.
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 4646th one is 44699.
- 2
44699 is prime because no prime up to ā44699 ā 211.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4646th prime is close to 4646 Ć ln(4646) ā 39230, and here it is 44699.
- 4
44699 is a twin prime: 44699 and 44701 are both prime.
Primes around the 4646th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4643 | 44657 | 6 |
| 4644 | 44683 | 26 |
| 4645 | 44687 | 4 |
| 4646 | 44699 | 12 |
| 4647 | 44701 | 2 |
| 4648 | 44711 | 10 |
| 4649 | 44729 | 18 |
Questions
What is the 4646th prime number?
44699.
Which prime number is 44699?
44699 is the 4646th prime number.
What is the sum of the first 4646 primes?
97,932,663.