What is the 4664th prime number?
The 4664th prime number is 44887. The next prime is 44893 (a gap of 6) and the one before is 44879.
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 4664th one is 44887.
- 2
44887 is prime because no prime up to ā44887 ā 211.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4664th prime is close to 4664 Ć ln(4664) ā 39400, and here it is 44887.
- 4
44887 has no twin: neither 44885 nor 44889 is prime.
Primes around the 4664th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4661 | 44851 | 8 |
| 4662 | 44867 | 16 |
| 4663 | 44879 | 12 |
| 4664 | 44887 | 8 |
| 4665 | 44893 | 6 |
| 4666 | 44909 | 16 |
| 4667 | 44917 | 8 |
Questions
What is the 4664th prime number?
44887.
Which prime number is 44887?
44887 is the 4664th prime number.
What is the sum of the first 4664 primes?
98,738,999.