What is the 4660th prime number?
The 4660th prime number is 44843. The next prime is 44851 (a gap of 8) and the one before is 44839.
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 4660th one is 44843.
- 2
44843 is prime because no prime up to ā44843 ā 211.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4660th prime is close to 4660 Ć ln(4660) ā 39362, and here it is 44843.
- 4
44843 has no twin: neither 44841 nor 44845 is prime.
Primes around the 4660th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4657 | 44809 | 12 |
| 4658 | 44819 | 10 |
| 4659 | 44839 | 20 |
| 4660 | 44843 | 4 |
| 4661 | 44851 | 8 |
| 4662 | 44867 | 16 |
| 4663 | 44879 | 12 |
Questions
What is the 4660th prime number?
44843.
Which prime number is 44843?
44843 is the 4660th prime number.
What is the sum of the first 4660 primes?
98,559,515.