What is the 4643rd prime number?
The 4643rd prime number is 44657. The next prime is 44683 (a gap of 26) and the one before is 44651.
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 4643rd one is 44657.
- 2
44657 is prime because no prime up to ā44657 ā 211.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4643rd prime is close to 4643 Ć ln(4643) ā 39201, and here it is 44657.
- 4
44657 has no twin: neither 44655 nor 44659 is prime.
Primes around the 4643rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4640 | 44641 | 8 |
| 4641 | 44647 | 6 |
| 4642 | 44651 | 4 |
| 4643 | 44657 | 6 |
| 4644 | 44683 | 26 |
| 4645 | 44687 | 4 |
| 4646 | 44699 | 12 |
Questions
What is the 4643rd prime number?
44657.
Which prime number is 44657?
44657 is the 4643rd prime number.
What is the sum of the first 4643 primes?
97,798,594.