What is the 5780th prime number?
The 5780th prime number is 56989. The next prime is 56993 (a gap of 4) and the one before is 56983.
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 5780th one is 56989.
- 2
56989 is prime because no prime up to ā56989 ā 238.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5780th prime is close to 5780 Ć ln(5780) ā 50067, and here it is 56989.
- 4
56989 has no twin: neither 56987 nor 56991 is prime.
Primes around the 5780th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5777 | 56957 | 6 |
| 5778 | 56963 | 6 |
| 5779 | 56983 | 20 |
| 5780 | 56989 | 6 |
| 5781 | 56993 | 4 |
| 5782 | 56999 | 6 |
| 5783 | 57037 | 38 |
Questions
What is the 5780th prime number?
56989.
Which prime number is 56989?
56989 is the 5780th prime number.
What is the sum of the first 5780 primes?
155,649,857.