What is the 5850th prime number?
The 5850th prime number is 57737. The next prime is 57751 (a gap of 14) and the one before is 57731.
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 5850th one is 57737.
- 2
57737 is prime because no prime up to ā57737 ā 240.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5850th prime is close to 5850 Ć ln(5850) ā 50744, and here it is 57737.
- 4
57737 has no twin: neither 57735 nor 57739 is prime.
Primes around the 5850th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5847 | 57719 | 6 |
| 5848 | 57727 | 8 |
| 5849 | 57731 | 4 |
| 5850 | 57737 | 6 |
| 5851 | 57751 | 14 |
| 5852 | 57773 | 22 |
| 5853 | 57781 | 8 |
Questions
What is the 5850th prime number?
57737.
Which prime number is 57737?
57737 is the 5850th prime number.
What is the sum of the first 5850 primes?
159,665,549.