What is the 4640th prime number?
The 4640th prime number is 44641. The next prime is 44647 (a gap of 6) and the one before is 44633.
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 4640th one is 44641.
- 2
44641 is prime because no prime up to ā44641 ā 211.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4640th prime is close to 4640 Ć ln(4640) ā 39173, and here it is 44641.
- 4
44641 has no twin: neither 44639 nor 44643 is prime.
Primes around the 4640th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4637 | 44621 | 4 |
| 4638 | 44623 | 2 |
| 4639 | 44633 | 10 |
| 4640 | 44641 | 8 |
| 4641 | 44647 | 6 |
| 4642 | 44651 | 4 |
| 4643 | 44657 | 6 |
Questions
What is the 4640th prime number?
44641.
Which prime number is 44641?
44641 is the 4640th prime number.
What is the sum of the first 4640 primes?
97,664,639.