What is the 5785th prime number?
The 5785th prime number is 57047. The next prime is 57059 (a gap of 12) and the one before is 57041.
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 5785th one is 57047.
- 2
57047 is prime because no prime up to ā57047 ā 238.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5785th prime is close to 5785 Ć ln(5785) ā 50116, and here it is 57047.
- 4
57047 has no twin: neither 57045 nor 57049 is prime.
Primes around the 5785th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5782 | 56999 | 6 |
| 5783 | 57037 | 38 |
| 5784 | 57041 | 4 |
| 5785 | 57047 | 6 |
| 5786 | 57059 | 12 |
| 5787 | 57073 | 14 |
| 5788 | 57077 | 4 |
Questions
What is the 5785th prime number?
57047.
Which prime number is 57047?
57047 is the 5785th prime number.
What is the sum of the first 5785 primes?
155,934,974.