What is the 5782nd prime number?
The 5782nd prime number is 56999. The next prime is 57037 (a gap of 38) and the one before is 56993.
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 5782nd one is 56999.
- 2
56999 is prime because no prime up to ā56999 ā 238.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5782nd prime is close to 5782 Ć ln(5782) ā 50087, and here it is 56999.
- 4
56999 has no twin: neither 56997 nor 57001 is prime.
Primes around the 5782nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5779 | 56983 | 20 |
| 5780 | 56989 | 6 |
| 5781 | 56993 | 4 |
| 5782 | 56999 | 6 |
| 5783 | 57037 | 38 |
| 5784 | 57041 | 4 |
| 5785 | 57047 | 6 |
Questions
What is the 5782nd prime number?
56999.
Which prime number is 56999?
56999 is the 5782nd prime number.
What is the sum of the first 5782 primes?
155,763,849.