What is the 652nd prime number?
The 652nd prime number is 4871. The next prime is 4877 (a gap of 6) and the one before is 4861.
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 652nd one is 4871.
- 2
4871 is prime because no prime up to ā4871 ā 69.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 652nd prime is close to 652 Ć ln(652) ā 4225, and here it is 4871.
- 4
4871 has no twin: neither 4869 nor 4873 is prime.
Primes around the 652nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 649 | 4817 | 4 |
| 650 | 4831 | 14 |
| 651 | 4861 | 30 |
| 652 | 4871 | 10 |
| 653 | 4877 | 6 |
| 654 | 4889 | 12 |
| 655 | 4903 | 14 |
Questions
What is the 652nd prime number?
4871.
Which prime number is 4871?
4871 is the 652nd prime number.
What is the sum of the first 652 primes?
1,464,099.