What is the 4652nd prime number?
The 4652nd prime number is 44771. The next prime is 44773 (a gap of 2) and the one before is 44753.
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 4652nd one is 44771.
- 2
44771 is prime because no prime up to ā44771 ā 211.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4652nd prime is close to 4652 Ć ln(4652) ā 39286, and here it is 44771.
- 4
44771 is a twin prime: 44771 and 44773 are both prime.
Primes around the 4652nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4649 | 44729 | 18 |
| 4650 | 44741 | 12 |
| 4651 | 44753 | 12 |
| 4652 | 44771 | 18 |
| 4653 | 44773 | 2 |
| 4654 | 44777 | 4 |
| 4655 | 44789 | 12 |
Questions
What is the 4652nd prime number?
44771.
Which prime number is 44771?
44771 is the 4652nd prime number.
What is the sum of the first 4652 primes?
98,201,069.