What is the 5851st prime number?
The 5851st prime number is 57751. The next prime is 57773 (a gap of 22) and the one before is 57737.
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 5851st one is 57751.
- 2
57751 is prime because no prime up to ā57751 ā 240.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5851st prime is close to 5851 Ć ln(5851) ā 50754, and here it is 57751.
- 4
57751 has no twin: neither 57749 nor 57753 is prime.
Primes around the 5851st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5848 | 57727 | 8 |
| 5849 | 57731 | 4 |
| 5850 | 57737 | 6 |
| 5851 | 57751 | 14 |
| 5852 | 57773 | 22 |
| 5853 | 57781 | 8 |
| 5854 | 57787 | 6 |
Questions
What is the 5851st prime number?
57751.
Which prime number is 57751?
57751 is the 5851st prime number.
What is the sum of the first 5851 primes?
159,723,300.