What is the 4667th prime number?
The 4667th prime number is 44917. The next prime is 44927 (a gap of 10) and the one before is 44909.
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 4667th one is 44917.
- 2
44917 is prime because no prime up to ā44917 ā 211.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4667th prime is close to 4667 Ć ln(4667) ā 39428, and here it is 44917.
- 4
44917 has no twin: neither 44915 nor 44919 is prime.
Primes around the 4667th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4664 | 44887 | 8 |
| 4665 | 44893 | 6 |
| 4666 | 44909 | 16 |
| 4667 | 44917 | 8 |
| 4668 | 44927 | 10 |
| 4669 | 44939 | 12 |
| 4670 | 44953 | 14 |
Questions
What is the 4667th prime number?
44917.
Which prime number is 44917?
44917 is the 4667th prime number.
What is the sum of the first 4667 primes?
98,873,718.