What is the 4666th prime number?
The 4666th prime number is 44909. The next prime is 44917 (a gap of 8) and the one before is 44893.
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 4666th one is 44909.
- 2
44909 is prime because no prime up to ā44909 ā 211.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4666th prime is close to 4666 Ć ln(4666) ā 39419, and here it is 44909.
- 4
44909 has no twin: neither 44907 nor 44911 is prime.
Primes around the 4666th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4663 | 44879 | 12 |
| 4664 | 44887 | 8 |
| 4665 | 44893 | 6 |
| 4666 | 44909 | 16 |
| 4667 | 44917 | 8 |
| 4668 | 44927 | 10 |
| 4669 | 44939 | 12 |
Questions
What is the 4666th prime number?
44909.
Which prime number is 44909?
44909 is the 4666th prime number.
What is the sum of the first 4666 primes?
98,828,801.