What is the 5784th prime number?
The 5784th prime number is 57041. The next prime is 57047 (a gap of 6) and the one before is 57037.
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 5784th one is 57041.
- 2
57041 is prime because no prime up to ā57041 ā 238.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5784th prime is close to 5784 Ć ln(5784) ā 50106, and here it is 57041.
- 4
57041 has no twin: neither 57039 nor 57043 is prime.
Primes around the 5784th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5781 | 56993 | 4 |
| 5782 | 56999 | 6 |
| 5783 | 57037 | 38 |
| 5784 | 57041 | 4 |
| 5785 | 57047 | 6 |
| 5786 | 57059 | 12 |
| 5787 | 57073 | 14 |
Questions
What is the 5784th prime number?
57041.
Which prime number is 57041?
57041 is the 5784th prime number.
What is the sum of the first 5784 primes?
155,877,927.