What is the 4662nd prime number?
The 4662nd prime number is 44867. The next prime is 44879 (a gap of 12) and the one before is 44851.
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 4662nd one is 44867.
- 2
44867 is prime because no prime up to ā44867 ā 211.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4662nd prime is close to 4662 Ć ln(4662) ā 39381, and here it is 44867.
- 4
44867 has no twin: neither 44865 nor 44869 is prime.
Primes around the 4662nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4659 | 44839 | 20 |
| 4660 | 44843 | 4 |
| 4661 | 44851 | 8 |
| 4662 | 44867 | 16 |
| 4663 | 44879 | 12 |
| 4664 | 44887 | 8 |
| 4665 | 44893 | 6 |
Questions
What is the 4662nd prime number?
44867.
Which prime number is 44867?
44867 is the 4662nd prime number.
What is the sum of the first 4662 primes?
98,649,233.