What is the 4668th prime number?
The 4668th prime number is 44927. The next prime is 44939 (a gap of 12) and the one before is 44917.
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 4668th one is 44927.
- 2
44927 is prime because no prime up to ā44927 ā 211.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4668th prime is close to 4668 Ć ln(4668) ā 39438, and here it is 44927.
- 4
44927 has no twin: neither 44925 nor 44929 is prime.
Primes around the 4668th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4665 | 44893 | 6 |
| 4666 | 44909 | 16 |
| 4667 | 44917 | 8 |
| 4668 | 44927 | 10 |
| 4669 | 44939 | 12 |
| 4670 | 44953 | 14 |
| 4671 | 44959 | 6 |
Questions
What is the 4668th prime number?
44927.
Which prime number is 44927?
44927 is the 4668th prime number.
What is the sum of the first 4668 primes?
98,918,645.