What is the 5852nd prime number?
The 5852nd prime number is 57773. The next prime is 57781 (a gap of 8) and the one before is 57751.
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 5852nd one is 57773.
- 2
57773 is prime because no prime up to ā57773 ā 240.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5852nd prime is close to 5852 Ć ln(5852) ā 50763, and here it is 57773.
- 4
57773 has no twin: neither 57771 nor 57775 is prime.
Primes around the 5852nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5849 | 57731 | 4 |
| 5850 | 57737 | 6 |
| 5851 | 57751 | 14 |
| 5852 | 57773 | 22 |
| 5853 | 57781 | 8 |
| 5854 | 57787 | 6 |
| 5855 | 57791 | 4 |
Questions
What is the 5852nd prime number?
57773.
Which prime number is 57773?
57773 is the 5852nd prime number.
What is the sum of the first 5852 primes?
159,781,073.