What is the 4665th prime number?
The 4665th prime number is 44893. The next prime is 44909 (a gap of 16) and the one before is 44887.
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 4665th one is 44893.
- 2
44893 is prime because no prime up to ā44893 ā 211.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4665th prime is close to 4665 Ć ln(4665) ā 39409, and here it is 44893.
- 4
44893 has no twin: neither 44891 nor 44895 is prime.
Primes around the 4665th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4662 | 44867 | 16 |
| 4663 | 44879 | 12 |
| 4664 | 44887 | 8 |
| 4665 | 44893 | 6 |
| 4666 | 44909 | 16 |
| 4667 | 44917 | 8 |
| 4668 | 44927 | 10 |
Questions
What is the 4665th prime number?
44893.
Which prime number is 44893?
44893 is the 4665th prime number.
What is the sum of the first 4665 primes?
98,783,892.